Chattopadhyay, Jaitra; Saikia, Anupam Totally real bi-quadratic fields with large Pólya groups. (English) Zbl 07525948 Res. Number Theory 8, No. 2, Paper No. 30, 6 p. (2022). MSC: 11R29 11R34 13F20 11-XX PDF BibTeX XML Cite \textit{J. Chattopadhyay} and \textit{A. Saikia}, Res. Number Theory 8, No. 2, Paper No. 30, 6 p. (2022; Zbl 07525948) Full Text: DOI OpenURL
Tomašić, Ivan; Wibmer, Michael Difference Galois theory and dynamics. (English) Zbl 07524882 Adv. Math. 402, Article ID 108328, 61 p. (2022). MSC: 18E50 12H10 37B10 18D40 13B05 PDF BibTeX XML Cite \textit{I. Tomašić} and \textit{M. Wibmer}, Adv. Math. 402, Article ID 108328, 61 p. (2022; Zbl 07524882) Full Text: DOI OpenURL
Lourdeaux, Alexandre Degree 2 cohomological invariants of linear algebraic groups. (English) Zbl 07524224 J. Pure Appl. Algebra 226, No. 10, Article ID 107059, 22 p. (2022). MSC: 14F20 14F22 20G10 20G15 PDF BibTeX XML Cite \textit{A. Lourdeaux}, J. Pure Appl. Algebra 226, No. 10, Article ID 107059, 22 p. (2022; Zbl 07524224) Full Text: DOI OpenURL
Neri, Alessandro; Santonastaso, Paolo; Zullo, Ferdinando Extending two families of maximum rank distance codes. (English) Zbl 07523464 Finite Fields Appl. 81, Article ID 102045, 31 p. (2022). MSC: 11T71 11T06 94B05 51E22 PDF BibTeX XML Cite \textit{A. Neri} et al., Finite Fields Appl. 81, Article ID 102045, 31 p. (2022; Zbl 07523464) Full Text: DOI OpenURL
Chen, Ruikai; Mesnager, Sihem A function field approach toward good polynomials for further results on optimal LRC codes. (English) Zbl 07523456 Finite Fields Appl. 81, Article ID 102028, 18 p. (2022). MSC: 94B05 11T06 11R58 PDF BibTeX XML Cite \textit{R. Chen} and \textit{S. Mesnager}, Finite Fields Appl. 81, Article ID 102028, 18 p. (2022; Zbl 07523456) Full Text: DOI OpenURL
Ozeki, Yoshiyasu; Taguchi, Yuichiro A note on highly Kummer-faithful fields. (English) Zbl 07522818 Kodai Math. J. 45, No. 1, 49-64 (2022). MSC: 11F80 14K05 PDF BibTeX XML Cite \textit{Y. Ozeki} and \textit{Y. Taguchi}, Kodai Math. J. 45, No. 1, 49--64 (2022; Zbl 07522818) Full Text: DOI OpenURL
Chiaselotti, G.; Infusino, F. Locally finite complexes, modules and generalized information systems. (English) Zbl 07522552 J. Algebra Appl. 21, No. 2, Article ID 2250033, 38 p. (2022). MSC: 06A15 06A75 08A02 05A18 16D10 PDF BibTeX XML Cite \textit{G. Chiaselotti} and \textit{F. Infusino}, J. Algebra Appl. 21, No. 2, Article ID 2250033, 38 p. (2022; Zbl 07522552) Full Text: DOI OpenURL
Marín, Víctor; Cañas, Andrés; Pinedo, Héctor Partial actions and cyclic Kummer’s theory. (English) Zbl 07522551 J. Algebra Appl. 21, No. 2, Article ID 2250032, 20 p. (2022). MSC: 13B05 13A50 16W22 PDF BibTeX XML Cite \textit{V. Marín} et al., J. Algebra Appl. 21, No. 2, Article ID 2250032, 20 p. (2022; Zbl 07522551) Full Text: DOI OpenURL
Crespo, Teresa Automatic realization of Hopf Galois structures. (English) Zbl 07522549 J. Algebra Appl. 21, No. 2, Article ID 2250030, 9 p. (2022). MSC: 12F10 16T05 20B05 20B35 20D20 20D45 PDF BibTeX XML Cite \textit{T. Crespo}, J. Algebra Appl. 21, No. 2, Article ID 2250030, 9 p. (2022; Zbl 07522549) Full Text: DOI OpenURL
Borovoi, Mikhail; de Graaf, Willem A.; Lê, Hông Vân Classification of real trivectors in dimension nine. (English) Zbl 07518363 J. Algebra 603, 118-163 (2022). Reviewer: Julio Benítez Lopez (Valencia) MSC: 15A21 11E72 20G05 20G20 PDF BibTeX XML Cite \textit{M. Borovoi} et al., J. Algebra 603, 118--163 (2022; Zbl 07518363) Full Text: DOI OpenURL
Bac, Dao Phuong; Hien, Vu Tuan On the topology of geometric and rational orbits for algebraic group actions over valued fields. II. (English) Zbl 07517840 Commun. Algebra 50, No. 2, 812-821 (2022). MSC: 14L30 14L24 20G15 20G10 11E72 PDF BibTeX XML Cite \textit{D. P. Bac} and \textit{V. T. Hien}, Commun. Algebra 50, No. 2, 812--821 (2022; Zbl 07517840) Full Text: DOI OpenURL
Ganguly, Satadal; Kumar, Arvind; Kumari, Moni Coprimality of Fourier coefficients of eigenforms. (English) Zbl 07517645 Acta Arith. 203, No. 1, 69-96 (2022). MSC: 11F30 11F80 11N37 11N64 11N99 PDF BibTeX XML Cite \textit{S. Ganguly} et al., Acta Arith. 203, No. 1, 69--96 (2022; Zbl 07517645) Full Text: DOI OpenURL
Acri, E.; Bonatto, M. Skew braces of size \(p^2q\). I: Abelian type. (English) Zbl 07517018 Algebra Colloq. 29, No. 2, 297-320 (2022). MSC: 16T25 81R50 PDF BibTeX XML Cite \textit{E. Acri} and \textit{M. Bonatto}, Algebra Colloq. 29, No. 2, 297--320 (2022; Zbl 07517018) Full Text: DOI OpenURL
Poyeton, Léo Formal groups and lifts of the field of norms. (English) Zbl 07516269 Algebra Number Theory 16, No. 2, 261-290 (2022). MSC: 11S82 11S15 11S20 11S31 13F25 PDF BibTeX XML Cite \textit{L. Poyeton}, Algebra Number Theory 16, No. 2, 261--290 (2022; Zbl 07516269) Full Text: DOI OpenURL
Malagón, Camilo Sanabria Solutions of algebraic linear ordinary differential equations. (English) Zbl 07515329 J. Algebra 602, 60-82 (2022). MSC: 34-XX 12-XX PDF BibTeX XML Cite \textit{C. S. Malagón}, J. Algebra 602, 60--82 (2022; Zbl 07515329) Full Text: DOI OpenURL
Al-Rawashdeh, A.; Mesablishvili, B. Hilbert’s theorem 90 in monoidal categories. (English) Zbl 07515327 J. Algebra 602, 1-36 (2022). MSC: 18M05 18D15 18E50 18G35 46J99 PDF BibTeX XML Cite \textit{A. Al-Rawashdeh} and \textit{B. Mesablishvili}, J. Algebra 602, 1--36 (2022; Zbl 07515327) Full Text: DOI OpenURL
Yao, Ge; Parampalli, Udaya Improved transformation algorithms for generalized Galois NLFSRs. (English) Zbl 07513141 Cryptogr. Commun. 14, No. 2, 229-258 (2022). MSC: 94A55 PDF BibTeX XML Cite \textit{G. Yao} and \textit{U. Parampalli}, Cryptogr. Commun. 14, No. 2, 229--258 (2022; Zbl 07513141) Full Text: DOI OpenURL
Fang, Xiaolei; Jin, Renjie; Luo, Jinquan; Ma, Wen New Galois hulls of GRS codes and application to EAQECCs. (English) Zbl 07513136 Cryptogr. Commun. 14, No. 1, 145-159 (2022). MSC: 12E20 81P70 94B05 PDF BibTeX XML Cite \textit{X. Fang} et al., Cryptogr. Commun. 14, No. 1, 145--159 (2022; Zbl 07513136) Full Text: DOI OpenURL
Ao, Lingfeng; Fei, Shuanglin; Hong, Shaofang On the Galois group of three classes of trinomials. (English) Zbl 07512892 AIMS Math. 7, No. 1, 212-224 (2022). MSC: 11R09 11R32 11C08 PDF BibTeX XML Cite \textit{L. Ao} et al., AIMS Math. 7, No. 1, 212--224 (2022; Zbl 07512892) Full Text: DOI OpenURL
Upton, James Discriminant-stability in \(p\)-adic Lie towers of number fields. (English) Zbl 07510303 J. Number Theory 237, 411-428 (2022). MSC: 11S15 11S31 11S20 14H30 PDF BibTeX XML Cite \textit{J. Upton}, J. Number Theory 237, 411--428 (2022; Zbl 07510303) Full Text: DOI OpenURL
Chen, Chien-Hua Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3. (English) Zbl 07510292 J. Number Theory 237, 99-123 (2022). MSC: 11G09 11R58 20G40 11G10 PDF BibTeX XML Cite \textit{C.-H. Chen}, J. Number Theory 237, 99--123 (2022; Zbl 07510292) Full Text: DOI OpenURL
Chen, Chien-Hua Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2. (English) Zbl 07509426 Acta Arith. 202, No. 4, 361-377 (2022). MSC: 11G09 11R32 11R37 11R58 11R60 PDF BibTeX XML Cite \textit{C.-H. Chen}, Acta Arith. 202, No. 4, 361--377 (2022; Zbl 07509426) Full Text: DOI OpenURL
Izquierdo, Diego; Arteche, Giancarlo Lucchini Homogeneous spaces, algebraic \(K\)-theory and cohomological dimension of fields. (English) Zbl 07509415 J. Eur. Math. Soc. (JEMS) 24, No. 6, 2169-2189 (2022). MSC: 12G10 19D45 11E72 14M17 PDF BibTeX XML Cite \textit{D. Izquierdo} and \textit{G. L. Arteche}, J. Eur. Math. Soc. (JEMS) 24, No. 6, 2169--2189 (2022; Zbl 07509415) Full Text: DOI OpenURL
Boxall, Gareth; Jones, Gareth A.; Schmidt, Harry Rational values of transcendental functions and arithmetic dynamics. (English) Zbl 07509403 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567-1592 (2022). MSC: 37P05 37F10 37F15 11G50 11R09 30D35 PDF BibTeX XML Cite \textit{G. Boxall} et al., J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567--1592 (2022; Zbl 07509403) Full Text: DOI OpenURL
Floccari, Salvatore Galois representations on the cohomology of hyper-Kähler varieties. (English) Zbl 07507837 Math. Z. 301, No. 1, 893-916 (2022). MSC: 14C30 14C15 14J42 14F20 14J20 14J32 PDF BibTeX XML Cite \textit{S. Floccari}, Math. Z. 301, No. 1, 893--916 (2022; Zbl 07507837) Full Text: DOI OpenURL
Bluher, Antonia W. A new identity of Dickson polynomials. (English) Zbl 07505587 Finite Fields Appl. 80, Article ID 102012, 32 p. (2022). MSC: 12F10 PDF BibTeX XML Cite \textit{A. W. Bluher}, Finite Fields Appl. 80, Article ID 102012, 32 p. (2022; Zbl 07505587) Full Text: DOI OpenURL
Quadrelli, Claudio; Weigel, Thomas S. Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property. (English) Zbl 07504605 Res. Number Theory 8, No. 2, Paper No. 21, 22 p. (2022). MSC: 12G05 12F10 20E18 20J06 PDF BibTeX XML Cite \textit{C. Quadrelli} and \textit{T. S. Weigel}, Res. Number Theory 8, No. 2, Paper No. 21, 22 p. (2022; Zbl 07504605) Full Text: DOI OpenURL
Bajpai, Jitendra; Bhakta, Subham; García, Victor C. Exponential sums in prime fields for modular forms. (English) Zbl 07504603 Res. Number Theory 8, No. 1, Paper No. 18, 32 p. (2022). MSC: 11F30 11L07 11P05 11B37 11F80 11-XX PDF BibTeX XML Cite \textit{J. Bajpai} et al., Res. Number Theory 8, No. 1, Paper No. 18, 32 p. (2022; Zbl 07504603) Full Text: DOI OpenURL
Chen, Miaofen; Nie, Sian Connectedness of Kisin varieties associated to absolutely irreducible Galois representations. (English) Zbl 1483.11107 J. Reine Angew. Math. 785, 31-54 (2022). MSC: 11F80 11R39 14L15 14F30 PDF BibTeX XML Cite \textit{M. Chen} and \textit{S. Nie}, J. Reine Angew. Math. 785, 31--54 (2022; Zbl 1483.11107) Full Text: DOI OpenURL
Hida, Haruzo The universal ordinary deformation ring associated to a real quadratic field. (English) Zbl 07501854 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 17, 51 p. (2022). MSC: 11R23 11F25 11F33 11F80 11F11 11G18 11F27 PDF BibTeX XML Cite \textit{H. Hida}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 17, 51 p. (2022; Zbl 07501854) Full Text: DOI OpenURL
Hajir, Farshid; Maire, Christian Analytic Lie extensions of number fields with cyclic fixed points and tame ramification. (English) Zbl 07500313 J. Ramanujan Math. Soc. 37, No. 1, 63-85 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11F80 11R32 11R37 22E20 PDF BibTeX XML Cite \textit{F. Hajir} and \textit{C. Maire}, J. Ramanujan Math. Soc. 37, No. 1, 63--85 (2022; Zbl 07500313) Full Text: Link OpenURL
Yu, Yih-Jeng Retraction note to: “A note on number knots and the splitting of the Hilbert class field”. (English) Zbl 1483.11249 Taiwanese J. Math. 26, No. 2, 443 (2022). MSC: 11R32 11R34 11R37 12F10 PDF BibTeX XML Cite \textit{Y.-J. Yu}, Taiwanese J. Math. 26, No. 2, 443 (2022; Zbl 1483.11249) Full Text: DOI OpenURL
Roques, Julien; Singer, Michael F. On the algebraic dependence of holonomic functions. (Sur la dépendance algébrique des fonctions holonomes.) (English. French summary) Zbl 07500016 Ann. Henri Lebesgue 5, 141-177 (2022). MSC: 12H05 33C10 34M03 PDF BibTeX XML Cite \textit{J. Roques} and \textit{M. F. Singer}, Ann. Henri Lebesgue 5, 141--177 (2022; Zbl 07500016) Full Text: DOI OpenURL
Koymans, Peter; Pagano, Carlo On the distribution of \(\mathrm{Cl}(K)[l^\infty]\) for degree \(l\) cyclic fields. (English) Zbl 07499450 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1189-1283 (2022). MSC: 11N45 11R29 11R34 11R37 11R45 PDF BibTeX XML Cite \textit{P. Koymans} and \textit{C. Pagano}, J. Eur. Math. Soc. (JEMS) 24, No. 4, 1189--1283 (2022; Zbl 07499450) Full Text: DOI OpenURL
Castella, Francesc; Wang-Erickson, Carl; Hida, Haruzo Class groups and local indecomposability for non-CM forms. (English) Zbl 07499448 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1103-1160 (2022). MSC: 11F80 11F33 11R23 PDF BibTeX XML Cite \textit{F. Castella} et al., J. Eur. Math. Soc. (JEMS) 24, No. 4, 1103--1160 (2022; Zbl 07499448) Full Text: DOI OpenURL
Bleher, Frauke M.; Chinburg, Ted; Greenberg, Ralph; Kakde, Mahesh; Sharifi, Romyar; Taylor, Martin J. Exterior powers in Iwasawa theory. (English) Zbl 07499445 J. Eur. Math. Soc. (JEMS) 24, No. 3, 967-1005 (2022). MSC: 11R23 11R34 PDF BibTeX XML Cite \textit{F. M. Bleher} et al., J. Eur. Math. Soc. (JEMS) 24, No. 3, 967--1005 (2022; Zbl 07499445) Full Text: DOI OpenURL
Loeffler, David; Skinner, Christopher; Zerbes, Sarah Livia Euler systems for \(\mathrm{GSp}(4)\). (English) Zbl 07499439 J. Eur. Math. Soc. (JEMS) 24, No. 2, 669-733 (2022). MSC: 11F46 11F67 11F80 11R23 PDF BibTeX XML Cite \textit{D. Loeffler} et al., J. Eur. Math. Soc. (JEMS) 24, No. 2, 669--733 (2022; Zbl 07499439) Full Text: DOI OpenURL
Silverman, Joseph H. Abstract algebra. An integrated approach. (English) Zbl 07498868 Pure and Applied Undergraduate Texts 55. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6860-6/pbk; 978-1-4704-6902-3/ebook). xvii, 567 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 12-01 13-01 16-01 20-01 12F10 PDF BibTeX XML Cite \textit{J. H. Silverman}, Abstract algebra. An integrated approach. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 07498868) OpenURL
Ding, Zhiguo; Zieve, Michael E. Low-degree permutation rational functions over finite fields. (English) Zbl 07496910 Acta Arith. 202, No. 3, 253-280 (2022). MSC: 11T06 11R32 PDF BibTeX XML Cite \textit{Z. Ding} and \textit{M. E. Zieve}, Acta Arith. 202, No. 3, 253--280 (2022; Zbl 07496910) Full Text: DOI OpenURL
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan Lifting and automorphy of reducible mod \(p\) Galois representations over global fields. (English) Zbl 07495377 Invent. Math. 228, No. 1, 415-492 (2022). MSC: 11F80 11F70 11R39 11F33 22E50 PDF BibTeX XML Cite \textit{N. Fakhruddin} et al., Invent. Math. 228, No. 1, 415--492 (2022; Zbl 07495377) Full Text: DOI OpenURL
Wang, Xiao-Juan; Tian, Tian; Qi, Wen-Feng A generic method for investigating nonsingular Galois NFSRs. (English) Zbl 07493996 Des. Codes Cryptography 90, No. 2, 387-408 (2022). MSC: 94A55 94A60 PDF BibTeX XML Cite \textit{X.-J. Wang} et al., Des. Codes Cryptography 90, No. 2, 387--408 (2022; Zbl 07493996) Full Text: DOI OpenURL
Dubickas, Artūras A game with two players choosing the coefficients of a polynomial. (English) Zbl 07493941 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 793-805 (2022). MSC: 11C08 11R09 11S05 91A46 PDF BibTeX XML Cite \textit{A. Dubickas}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 793--805 (2022; Zbl 07493941) Full Text: DOI OpenURL
Dreyfus, Thomas; Weil, Jacques-Arthur Computing the Lie algebra of the differential Galois group: the reducible case. (English) Zbl 07493812 J. Symb. Comput. 112, 122-163 (2022). MSC: 34M03 34M15 34M25 17B45 68W30 PDF BibTeX XML Cite \textit{T. Dreyfus} and \textit{J.-A. Weil}, J. Symb. Comput. 112, 122--163 (2022; Zbl 07493812) Full Text: DOI arXiv OpenURL
Puljić, D.; Smoktunowicz, A.; Zenouz, K. Nejabati Some braces of cardinality \(p^4\) and related Hopf-Galois extensions. (English) Zbl 07493772 New York J. Math. 28, 494-522 (2022). Reviewer: Cindy Tsang (Tokyo) MSC: 16T25 81R50 20D15 PDF BibTeX XML Cite \textit{D. Puljić} et al., New York J. Math. 28, 494--522 (2022; Zbl 07493772) Full Text: arXiv Link OpenURL
Hochfilzer, Leonhard Variance of sums in short intervals and \(L\)-functions in \(\mathbb{F}_q [t]\). (English) Zbl 07493021 J. Number Theory 236, 188-213 (2022). MSC: 11T55 11M50 11M38 PDF BibTeX XML Cite \textit{L. Hochfilzer}, J. Number Theory 236, 188--213 (2022; Zbl 07493021) Full Text: DOI arXiv OpenURL
Carvalho, Catarina; Martin, Barnaby The lattice and semigroup structure of multipermutations. (English) Zbl 07492582 Int. J. Algebra Comput. 32, No. 2, 211-235 (2022). MSC: 06B05 68Q15 20M10 03C05 PDF BibTeX XML Cite \textit{C. Carvalho} and \textit{B. Martin}, Int. J. Algebra Comput. 32, No. 2, 211--235 (2022; Zbl 07492582) Full Text: DOI arXiv OpenURL
Carvajal-Rojas, Javier Finite torsors over strongly \(F\)-regular singularities. (English) Zbl 07491450 Épijournal de Géom. Algébr., EPIGA 6, Article 1, 30 p. (2022). MSC: 14B05 14L15 13A35 13A50 13B05 14F35 14L30 16T05 PDF BibTeX XML Cite \textit{J. Carvajal-Rojas}, Épijournal de Géom. Algébr., EPIGA 6, Article 1, 30 p. (2022; Zbl 07491450) Full Text: DOI arXiv OpenURL
Acri, E.; Bonatto, M. Skew braces of size \(p^2 q\) II: non-abelian type. (English) Zbl 07490543 J. Algebra Appl. 21, No. 3, Article ID 2250062, 61 p. (2022). MSC: 16T25 81R50 PDF BibTeX XML Cite \textit{E. Acri} and \textit{M. Bonatto}, J. Algebra Appl. 21, No. 3, Article ID 2250062, 61 p. (2022; Zbl 07490543) Full Text: DOI arXiv OpenURL
Bagio, Dirceu; Cañas, Andrés; Marín, Víctor; Paques, Antonio; Pinedo, Héctor The commutative inverse semigroup of partial abelian extensions. (English) Zbl 07488677 Commun. Algebra 50, No. 4, 1498-1517 (2022). MSC: 13B05 13A50 20M14 20M18 PDF BibTeX XML Cite \textit{D. Bagio} et al., Commun. Algebra 50, No. 4, 1498--1517 (2022; Zbl 07488677) Full Text: DOI arXiv OpenURL
Bergdall, John; Levin, Brandon Reductions of some two-dimensional crystalline representations via Kisin modules. (English) Zbl 07487084 Int. Math. Res. Not. 2022, No. 4, 3170-3197 (2022). MSC: 11F80 11F85 14F30 PDF BibTeX XML Cite \textit{J. Bergdall} and \textit{B. Levin}, Int. Math. Res. Not. 2022, No. 4, 3170--3197 (2022; Zbl 07487084) Full Text: DOI arXiv OpenURL
Chipchakov, Ivan D. Fields of dimension one algebraic over a global or local field need not be of type \(C_1\). (English) Zbl 07485558 J. Number Theory 235, 484-501 (2022). Reviewer: Mouad Moutaoukil (Fès) MSC: 11E76 11R34 12J10 11D72 11S15 PDF BibTeX XML Cite \textit{I. D. Chipchakov}, J. Number Theory 235, 484--501 (2022; Zbl 07485558) Full Text: DOI arXiv OpenURL
Sheffer, Adam Polynomial methods and incidence theory. (English) Zbl 07483568 Cambridge Studies in Advanced Mathematics 197. Cambridge: Cambridge University Press (ISBN 978-1-108-83249-6/hbk; 978-1-108-95998-8/ebook). xvi, 246 p. (2022). MSC: 11-01 05-01 51-01 11B25 05B25 05Dxx 51E22 PDF BibTeX XML Cite \textit{A. Sheffer}, Polynomial methods and incidence theory. Cambridge: Cambridge University Press (2022; Zbl 07483568) Full Text: DOI OpenURL
Cao, Yuan; Cao, Yonglin; Fu, Fang-Wei; Wang, Guidong Self-dual cyclic codes over \(\mathbb{Z}_4\) of length \(4n\). (English) Zbl 07483509 Appl. Algebra Eng. Commun. Comput. 33, No. 1, 21-51 (2022). MSC: 94B15 94B05 11T71 PDF BibTeX XML Cite \textit{Y. Cao} et al., Appl. Algebra Eng. Commun. Comput. 33, No. 1, 21--51 (2022; Zbl 07483509) Full Text: DOI OpenURL
Zhang, Xuemei; Chen, Yaojun; Cheng, T. C. Edwin Bounds for two multicolor Ramsey numbers concerning quadrilaterals. (English) Zbl 07483335 Finite Fields Appl. 79, Article ID 101999, 16 p. (2022). Reviewer: William G. Brown (Montréal) MSC: 05C55 05D10 05C80 05B10 11T99 PDF BibTeX XML Cite \textit{X. Zhang} et al., Finite Fields Appl. 79, Article ID 101999, 16 p. (2022; Zbl 07483335) Full Text: DOI OpenURL
Renaud, François Higher coverings of racks and quandles. II. (English) Zbl 07483095 Appl. Categ. Struct. 30, No. 1, 81-122 (2022). MSC: 18E50 57K12 08C05 47B47 18N99 18A20 20F12 18G50 57M10 PDF BibTeX XML Cite \textit{F. Renaud}, Appl. Categ. Struct. 30, No. 1, 81--122 (2022; Zbl 07483095) Full Text: DOI arXiv OpenURL
Mináč, Ján; Schultz, Andrew; Swallow, John On the indecomposability of a remarkable new family of modules appearing in Galois theory. (English) Zbl 07483071 J. Algebra 598, 194-235 (2022). MSC: 12-XX 20C20 PDF BibTeX XML Cite \textit{J. Mináč} et al., J. Algebra 598, 194--235 (2022; Zbl 07483071) Full Text: DOI arXiv OpenURL
Aliabadi, Mohsen; Filom, Khashayar Results and questions on matchings in abelian groups and vector subspaces of fields. (English) Zbl 1483.05196 J. Algebra 598, 85-104 (2022). MSC: 05D15 11B75 20D60 12F10 05C25 PDF BibTeX XML Cite \textit{M. Aliabadi} and \textit{K. Filom}, J. Algebra 598, 85--104 (2022; Zbl 1483.05196) Full Text: DOI arXiv OpenURL
Azizi, Abdelmalek; Rezzougui, Mohammed; Zekhnini, Abdelkader Structure of the Galois group of the maximal unramified pro-2-extension of some \(\mathbb{Z}_2\)-extensions. (English) Zbl 07479508 Publ. Math. 100, No. 1-2, 11-28 (2022). MSC: 11R23 20D15 11R11 11R20 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., Publ. Math. 100, No. 1--2, 11--28 (2022; Zbl 07479508) Full Text: DOI OpenURL
Héger, Tamás; Nagy, Zoltán Lóránt Short minimal codes and covering codes via strong blocking sets in projective spaces. (English) Zbl 07475731 IEEE Trans. Inf. Theory 68, No. 2, 881-890 (2022). MSC: 94B05 94B65 94B27 PDF BibTeX XML Cite \textit{T. Héger} and \textit{Z. L. Nagy}, IEEE Trans. Inf. Theory 68, No. 2, 881--890 (2022; Zbl 07475731) Full Text: DOI arXiv OpenURL
Gil-Muñoz, Daniel; Rio, Anna Induced Hopf Galois structures and their local Hopf Galois modules. (English) Zbl 07473080 Publ. Mat., Barc. 66, No. 1, 99-128 (2022). MSC: 11R33 16T05 PDF BibTeX XML Cite \textit{D. Gil-Muñoz} and \textit{A. Rio}, Publ. Mat., Barc. 66, No. 1, 99--128 (2022; Zbl 07473080) Full Text: DOI arXiv OpenURL
Arvind, Namrata; Panja, Saikat On \(\mathbb{Z}_n \rtimes \mathbb{Z}_2\)-Hopf-Galois structures. (English) Zbl 07473014 J. Algebra 596, 37-52 (2022). Reviewer: Cindy Tsang (Tokyo) MSC: 12F10 16T05 20B35 PDF BibTeX XML Cite \textit{N. Arvind} and \textit{S. Panja}, J. Algebra 596, 37--52 (2022; Zbl 07473014) Full Text: DOI arXiv OpenURL
Maurischat, Andreas Anderson \(t\)-modules with thin \(t\)-adic Galois representations. (English) Zbl 07469032 Proc. Am. Math. Soc. 150, No. 3, 927-940 (2022). MSC: 11G09 11R58 PDF BibTeX XML Cite \textit{A. Maurischat}, Proc. Am. Math. Soc. 150, No. 3, 927--940 (2022; Zbl 07469032) Full Text: DOI arXiv OpenURL
Urban, Eric On Euler systems for adjoint Hilbert modular Galois representations. (English. French summary) Zbl 07469028 J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1115-1141 (2022). MSC: 11F80 11F33 11F41 PDF BibTeX XML Cite \textit{E. Urban}, J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1115--1141 (2022; Zbl 07469028) Full Text: DOI arXiv OpenURL
Sakamoto, Ryotaro On the theory of Kolyvagin systems of rank 0. (English. French summary) Zbl 07469026 J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1077-1102 (2022). MSC: 11F80 11R34 11R23 PDF BibTeX XML Cite \textit{R. Sakamoto}, J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1077--1102 (2022; Zbl 07469026) Full Text: DOI OpenURL
Perrin-Riou, Bernadette Note on the elementary dividers of the Iwasawa regulator. (Note sur les diviseurs élémentaires du régulateur d’Iwasawa.) (French. English summary) Zbl 07469025 J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1069-1075 (2022). MSC: 11R23 11F80 PDF BibTeX XML Cite \textit{B. Perrin-Riou}, J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1069--1075 (2022; Zbl 07469025) Full Text: DOI arXiv OpenURL
Greither, Cornelius; Popescu, Cristian Picard 1-motives and Tate sequences for function fields. (English. French summary) Zbl 07469017 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835-852 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11M38 11G20 11G25 11G45 14F30 PDF BibTeX XML Cite \textit{C. Greither} and \textit{C. Popescu}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835--852 (2022; Zbl 07469017) Full Text: DOI OpenURL
Betina, Adel; Dimitrov, Mladen A geometric view on Iwasawa theory. (English. French summary) Zbl 07469013 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 703-731 (2022). MSC: 11F33 11R23 11F80 PDF BibTeX XML Cite \textit{A. Betina} and \textit{M. Dimitrov}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 703--731 (2022; Zbl 07469013) Full Text: DOI arXiv OpenURL
Maurischat, A.; Perkins, R. Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions. (English) Zbl 07468302 Int. J. Number Theory 18, No. 1, 113-130 (2022). MSC: 11J93 11G09 12F10 11F80 33E50 41A58 34L99 PDF BibTeX XML Cite \textit{A. Maurischat} and \textit{R. Perkins}, Int. J. Number Theory 18, No. 1, 113--130 (2022; Zbl 07468302) Full Text: DOI arXiv OpenURL
Ray, Anwesh Deformations of reducible Galois representations to ZHida-families. (English) Zbl 07468301 Int. J. Number Theory 18, No. 1, 89-112 (2022). MSC: 11F80 11R32 11R34 PDF BibTeX XML Cite \textit{A. Ray}, Int. J. Number Theory 18, No. 1, 89--112 (2022; Zbl 07468301) Full Text: DOI arXiv OpenURL
Dugger, Daniel Gysin functors, correspondences, and the Grothendieck-Witt category. (English) Zbl 07467860 Theory Appl. Categ. 38, 156-213 (2022). Reviewer: Marek Golasiński (Olsztyn) MSC: 18B10 12F10 19L47 PDF BibTeX XML Cite \textit{D. Dugger}, Theory Appl. Categ. 38, 156--213 (2022; Zbl 07467860) Full Text: Link OpenURL
Borovoi, Mikhail; Gornitskii, Andrei A.; Rosengarten, Zev Galois cohomology of real quasi-connected reductive groups. (English) Zbl 07466648 Arch. Math. 118, No. 1, 27-38 (2022). Reviewer: Stefan Gille (Edmonton) MSC: 11E72 20G07 20G15 20G20 PDF BibTeX XML Cite \textit{M. Borovoi} et al., Arch. Math. 118, No. 1, 27--38 (2022; Zbl 07466648) Full Text: DOI arXiv OpenURL
Thackeray, Henry (Maya) Robert A BSD formula for high-weight modular forms. (English) Zbl 07466557 J. Number Theory 234, 404-447 (2022). Reviewer: Remke Kloosterman (Padova) MSC: 11G40 11F23 11F80 11F85 11R23 PDF BibTeX XML Cite \textit{H. R. Thackeray}, J. Number Theory 234, 404--447 (2022; Zbl 07466557) Full Text: DOI OpenURL
Betina, Adel; Dimitrov, Mladen; Pozzi, Alice On the failure of Gorensteinness at weight \(1\) Eisenstein points of the eigencurve. (English) Zbl 07465470 Am. J. Math. 144, No. 1, 227-265 (2022). MSC: 11F33 11R23 11F80 11F85 PDF BibTeX XML Cite \textit{A. Betina} et al., Am. J. Math. 144, No. 1, 227--265 (2022; Zbl 07465470) Full Text: DOI arXiv OpenURL
Jung, Ho Yun; Lee, Yoonjin Class invariants by Siegel resolvents and the modularity of their Galois traces. (English) Zbl 07462091 Ramanujan J. 57, No. 1, 135-152 (2022). MSC: 11F37 11F30 11G15 11R27 11R37 PDF BibTeX XML Cite \textit{H. Y. Jung} and \textit{Y. Lee}, Ramanujan J. 57, No. 1, 135--152 (2022; Zbl 07462091) Full Text: DOI OpenURL
Legrand, François On finite embedding problems with abelian kernels. (English) Zbl 07459418 J. Algebra 595, 633-659 (2022). MSC: 12E25 12F12 12F10 PDF BibTeX XML Cite \textit{F. Legrand}, J. Algebra 595, 633--659 (2022; Zbl 07459418) Full Text: DOI arXiv OpenURL
Wang, Jeng-Jung; Chen, Yan-Haw The inverse of circulant matrices over \(\mathrm{GF}(2^m )\). (English) Zbl 1480.15036 Discrete Math. 345, No. 3, Article ID 112741, 10 p. (2022). MSC: 15B05 15B33 15A09 PDF BibTeX XML Cite \textit{J.-J. Wang} and \textit{Y.-H. Chen}, Discrete Math. 345, No. 3, Article ID 112741, 10 p. (2022; Zbl 1480.15036) Full Text: DOI OpenURL
Sivatski, A. S. Biquaternion division algebras and fourth power-central elements. (English) Zbl 07455916 J. Pure Appl. Algebra 226, No. 5, Article ID 106947, 8 p. (2022). Reviewer: Adam Chapman (Tel Hai) MSC: 11E04 11E81 12G05 16K50 PDF BibTeX XML Cite \textit{A. S. Sivatski}, J. Pure Appl. Algebra 226, No. 5, Article ID 106947, 8 p. (2022; Zbl 07455916) Full Text: DOI OpenURL
Nguyen, Tung T. Heights and Tamagawa numbers of motives. (English) Zbl 07455910 J. Pure Appl. Algebra 226, No. 5, Article ID 106933, 27 p. (2022). MSC: 11F80 11F85 11M06 11R39 11R42 PDF BibTeX XML Cite \textit{T. T. Nguyen}, J. Pure Appl. Algebra 226, No. 5, Article ID 106933, 27 p. (2022; Zbl 07455910) Full Text: DOI arXiv OpenURL
Esterov, A.; Lang, L. Sparse polynomial equations and other enumerative problems whose Galois groups are wreath products. (English) Zbl 07453883 Sel. Math., New Ser. 28, No. 2, Paper No. 22, 35 p. (2022). MSC: 14E20 14H05 14M25 14N10 20B20 52B20 58K10 PDF BibTeX XML Cite \textit{A. Esterov} and \textit{L. Lang}, Sel. Math., New Ser. 28, No. 2, Paper No. 22, 35 p. (2022; Zbl 07453883) Full Text: DOI arXiv OpenURL
Wang, Shengwen; Wang, Longchun; Li, Qingguo A representation of FS-domains by formal concept analysis. (English) Zbl 1480.18004 Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 483-499 (2022). Reviewer: Partha Ghosh (Johannesburg) MSC: 18B35 06B35 06A15 06A06 03E20 PDF BibTeX XML Cite \textit{S. Wang} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 483--499 (2022; Zbl 1480.18004) Full Text: DOI OpenURL
Rapinchuk, Andrei S.; Rapinchuk, Igor A. Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields. (English) Zbl 07452398 J. Number Theory 233, 228-260 (2022). MSC: 14F20 14L15 11R34 14G40 20G15 PDF BibTeX XML Cite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, J. Number Theory 233, 228--260 (2022; Zbl 07452398) Full Text: DOI arXiv OpenURL
Greither, Cornelius; Kataoka, Takenori; Kurihara, Masato Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields. (English) Zbl 07451866 Sel. Math., New Ser. 28, No. 1, Paper No. 14, 48 p. (2022). Reviewer: Henri Johnston (Exeter) MSC: 11R23 11R33 11R34 11R42 PDF BibTeX XML Cite \textit{C. Greither} et al., Sel. Math., New Ser. 28, No. 1, Paper No. 14, 48 p. (2022; Zbl 07451866) Full Text: DOI arXiv OpenURL
Yang, Yu Maximum generalized Hasse-Witt invariants and their applications to anabelian geometry. (English) Zbl 07437390 Sel. Math., New Ser. 28, No. 1, Paper No. 5, 98 p. (2022). MSC: 14H30 14G17 14G32 PDF BibTeX XML Cite \textit{Y. Yang}, Sel. Math., New Ser. 28, No. 1, Paper No. 5, 98 p. (2022; Zbl 07437390) Full Text: DOI arXiv OpenURL
Wang, Xiao-Juan; Tian, Tian; Qi, Wen-Feng A necessary and sufficient condition for a class of nonsingular Galois NFSRs. (English) Zbl 1479.94098 Finite Fields Appl. 77, Article ID 101952, 14 p. (2022). MSC: 94A55 94A60 PDF BibTeX XML Cite \textit{X.-J. Wang} et al., Finite Fields Appl. 77, Article ID 101952, 14 p. (2022; Zbl 1479.94098) Full Text: DOI OpenURL
Arreche, Carlos E.; Zhang, Yi Computing differential Galois groups of second-order linear \(q\)-difference equations. (English) Zbl 1478.39005 Adv. Appl. Math. 132, Article ID 102273, 48 p. (2022). MSC: 39A13 39A12 12H10 12H05 20H20 PDF BibTeX XML Cite \textit{C. E. Arreche} and \textit{Y. Zhang}, Adv. Appl. Math. 132, Article ID 102273, 48 p. (2022; Zbl 1478.39005) Full Text: DOI arXiv OpenURL
El Habibi, Abdelaziz; Mizusawa, Yasushi On pro-\(p\)-extensions of number fields with restricted ramification over intermediate \(\mathbb{Z}_p\)-extensions. (English) Zbl 07419375 J. Number Theory 231, 214-238 (2022). MSC: 11R23 11R32 PDF BibTeX XML Cite \textit{A. El Habibi} and \textit{Y. Mizusawa}, J. Number Theory 231, 214--238 (2022; Zbl 07419375) Full Text: DOI OpenURL
Byott, Nigel P.; Martin-Lyons, Isabel Hopf-Galois structures on non-normal extensions of degree related to Sophie Germain primes. (English) Zbl 1475.12006 J. Pure Appl. Algebra 226, No. 3, Article ID 106869, 20 p. (2022). Reviewer: Cindy Tsang (Tokyo) MSC: 12F10 16T05 PDF BibTeX XML Cite \textit{N. P. Byott} and \textit{I. Martin-Lyons}, J. Pure Appl. Algebra 226, No. 3, Article ID 106869, 20 p. (2022; Zbl 1475.12006) Full Text: DOI arXiv OpenURL
Bachmayr, Annette; Wibmer, Michael Algebraic groups as difference Galois groups of linear differential equations. (English) Zbl 1475.12011 J. Pure Appl. Algebra 226, No. 2, Article ID 106854, 26 p. (2022). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H10 12H05 34M15 34M50 14L15 PDF BibTeX XML Cite \textit{A. Bachmayr} and \textit{M. Wibmer}, J. Pure Appl. Algebra 226, No. 2, Article ID 106854, 26 p. (2022; Zbl 1475.12011) Full Text: DOI arXiv OpenURL
Barth, Dominik; Wenz, Andreas On Elkies’ method for bounding the transitivity degree of Galois groups. (English) Zbl 1482.11150 J. Symb. Comput. 108, 17-22 (2022). Reviewer: Andreas Bender (Pavia) MSC: 11R32 11Y40 11G20 12F10 20D08 PDF BibTeX XML Cite \textit{D. Barth} and \textit{A. Wenz}, J. Symb. Comput. 108, 17--22 (2022; Zbl 1482.11150) Full Text: DOI arXiv OpenURL
Garling, D. J. H. Galois theory, and its algebraic background. 2nd significantly revised edition of the book previously published under the title ‘A course in Galois theory’. (English) Zbl 07298510 Cambridge: Cambridge University Press (ISBN 978-1-108-83892-4/hbk; 978-1-108-96908-6/pbk; 978-1-108-97918-4/ebook). x, 195 p. (2022). MSC: 12-01 12F10 PDF BibTeX XML Cite \textit{D. J. H. Garling}, Galois theory, and its algebraic background. 2nd significantly revised edition of the book previously published under the title `A course in Galois theory'. Cambridge: Cambridge University Press (2022; Zbl 07298510) Full Text: DOI OpenURL
Bolaños, Wilmar; Mantilla-Soler, Guillermo The trace form over cyclic number fields. (English) Zbl 07524997 Can. J. Math. 73, No. 4, 947-969 (2021). MSC: 11R04 11R18 11R29 11R32 PDF BibTeX XML Cite \textit{W. Bolaños} and \textit{G. Mantilla-Soler}, Can. J. Math. 73, No. 4, 947--969 (2021; Zbl 07524997) Full Text: DOI OpenURL
Awtrey, Chad; Stucker, D. Haydn Eisenstein polynomials defining cyclic \(p\)-adic fields with minimal wild ramification. (English) Zbl 07522995 JP J. Algebra Number Theory Appl. 49, No. 1, 93-100 (2021). MSC: 11S15 11S20 PDF BibTeX XML Cite \textit{C. Awtrey} and \textit{D. H. Stucker}, JP J. Algebra Number Theory Appl. 49, No. 1, 93--100 (2021; Zbl 07522995) Full Text: DOI OpenURL
Tauvel, Patrice Commutative fields and Galois theory. course and exercices. 3rd revised edition. (Corps commutatifs et théorie de Galois. Cours et exercices.) (French) Zbl 07517400 Mathématiques en Devenir 102. Montrouge: Calvage et Mounet (ISBN 978-2-916352-87-9/pbk). xix, 352 p. (2021). MSC: 11-01 12-01 12Fxx 12Exx 11R32 12H05 PDF BibTeX XML Cite \textit{P. Tauvel}, Corps commutatifs et théorie de Galois. Cours et exercices. 3rd revised edition. Montrouge: Calvage et Mounet (2021; Zbl 07517400) OpenURL
Collas, Benjamin (ed.); Dèbes, Pierre (ed.); Nakamura, Hiroaki (ed.); Stix, Jakob (ed.) Homotopic and geometric Galois theory. Abstracts from the workshop held March 7–13, 2021 (online meeting). (English) Zbl 07513994 Oberwolfach Rep. 18, No. 1, 663-744 (2021). MSC: 00B05 00B25 12-06 11-06 11F80 12F12 14G32 55Pxx 13B05 14H30 14F22 PDF BibTeX XML Cite \textit{B. Collas} (ed.) et al., Oberwolfach Rep. 18, No. 1, 663--744 (2021; Zbl 07513994) Full Text: DOI OpenURL
Vasin, A. R.; Kamlovskiĭ, O. V.; Mizerov, V. V. Properties of distributions of elements in one class of sequences over Galois rings. (Russian. English summary) Zbl 07511183 Mat. Vopr. Kriptografii 12, No. 4, 25-41 (2021). MSC: 94A55 11T24 11B37 11T23 PDF BibTeX XML Cite \textit{A. R. Vasin} et al., Mat. Vopr. Kriptografii 12, No. 4, 25--41 (2021; Zbl 07511183) Full Text: DOI MNR OpenURL
Yao, Ge; Parampalli, Udaya Cryptanalysis of the class of maximum period Galois NLFSR-based stream ciphers. (English) Zbl 07502021 Cryptogr. Commun. 13, No. 5, 847-864 (2021). MSC: 94A55 94A60 68P25 PDF BibTeX XML Cite \textit{G. Yao} and \textit{U. Parampalli}, Cryptogr. Commun. 13, No. 5, 847--864 (2021; Zbl 07502021) Full Text: DOI OpenURL
Ali, Aslam Computations in Galois cohomology. (English) Zbl 1483.12001 Mathematik. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (ISBN 978-3-8439-4890-6/pbk). 153 p. (2021). MSC: 12-02 12-08 12G05 PDF BibTeX XML Cite \textit{A. Ali}, Computations in Galois cohomology. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (2021; Zbl 1483.12001) OpenURL
García-Ramírez, Angel R.; López-Andrade, Carlos A.; Villa-Hernández, David Gray images of constacyclic codes over Galois rings \(\mathcal{R}\) of nilpotency index 3. (Spanish. English summary) Zbl 07498603 Rev. Integr. 39, No. 1, 57-78 (2021). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 94B05 94B15 13F35 PDF BibTeX XML Cite \textit{A. R. García-Ramírez} et al., Rev. Integr. 39, No. 1, 57--78 (2021; Zbl 07498603) Full Text: DOI OpenURL
Lim, Meng Fai On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions. (English) Zbl 1483.11115 Tokyo J. Math. 44, No. 2, 477-494 (2021). MSC: 11G05 11R23 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Tokyo J. Math. 44, No. 2, 477--494 (2021; Zbl 1483.11115) Full Text: DOI OpenURL
Awtrey, Chad; Beuerle, James R.; Griesbach, Hanna Noelle Field extensions defined by power compositional polynomials. (English) Zbl 07492924 Missouri J. Math. Sci. 33, No. 2, 163-180 (2021). Reviewer: El Hassane Fliouet (Agadir) MSC: 12F05 12-08 20B35 11R32 PDF BibTeX XML Cite \textit{C. Awtrey} et al., Missouri J. Math. Sci. 33, No. 2, 163--180 (2021; Zbl 07492924) Full Text: DOI OpenURL