Mishra, Satyendra Kumar; Mukherjee, Goutam; Naolekar, Anita Cohomology and deformations of Filippov algebroids. (English) Zbl 07451470 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 2, 25 p. (2022). MSC: 17A30 17B55 17B99 PDF BibTeX XML Cite \textit{S. K. Mishra} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 2, 25 p. (2022; Zbl 07451470) Full Text: DOI OpenURL
Garcés, Jorge J.; Khrypchenko, Mykola Potent preservers of incidence algebras. (English) Zbl 07451381 Linear Algebra Appl. 635, 171-200 (2022). MSC: 16S50 15A86 16W20 17A36 17B40 17C30 17C27 PDF BibTeX XML Cite \textit{J. J. Garcés} and \textit{M. Khrypchenko}, Linear Algebra Appl. 635, 171--200 (2022; Zbl 07451381) Full Text: DOI OpenURL
Volkov, Yury \(n\)-ary algebras of the first level. (English) Zbl 07435773 Mediterr. J. Math. 19, No. 1, Paper No. 2, 16 p. (2022). MSC: 17A01 14J10 14L30 PDF BibTeX XML Cite \textit{Y. Volkov}, Mediterr. J. Math. 19, No. 1, Paper No. 2, 16 p. (2022; Zbl 07435773) Full Text: DOI OpenURL
Camacho, L. M.; Navarro, R. M.; Omirov, B. A. On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical. (English) Zbl 07428729 J. Algebra 591, 500-522 (2022). MSC: 17A32 17A70 17B30 17B40 PDF BibTeX XML Cite \textit{L. M. Camacho} et al., J. Algebra 591, 500--522 (2022; Zbl 07428729) Full Text: DOI OpenURL
Chen, Yuqun; Shestakov, Ivan; Zhang, Zerui Free Lie-admissible algebras and an analogue of the PBW theorem. (English) Zbl 07420020 J. Algebra 590, 234-253 (2022). MSC: 16S30 17A61 17D25 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Algebra 590, 234--253 (2022; Zbl 07420020) Full Text: DOI OpenURL
Fernández Ouaridi, Amir; Kaygorodov, Ivan; Khrypchenko, Mykola; Volkov, Yury Degenerations of nilpotent algebras. (English) Zbl 07396431 J. Pure Appl. Algebra 226, No. 3, Article ID 106850, 21 p. (2022). MSC: 17A30 17D99 17B30 14D06 14L30 PDF BibTeX XML Cite \textit{A. Fernández Ouaridi} et al., J. Pure Appl. Algebra 226, No. 3, Article ID 106850, 21 p. (2022; Zbl 07396431) Full Text: DOI OpenURL
Khasraw, S. M. S.; McInroy, J.; Shpectorov, S. Enumerating 3-generated axial algebras of Monster type. (English) Zbl 07389874 J. Pure Appl. Algebra 226, No. 2, Article ID 106816, 21 p. (2022). MSC: 17A99 20B25 20F29 PDF BibTeX XML Cite \textit{S. M. S. Khasraw} et al., J. Pure Appl. Algebra 226, No. 2, Article ID 106816, 21 p. (2022; Zbl 07389874) Full Text: DOI OpenURL
Pouye, Mamadou; Kpamegan, Bernardin; Todjihoundé, Leonard Quadratic Lie-type superalgebras. (English) Zbl 07460076 J. Adv. Math. Stud. 14, No. 3, 399-419 (2021). MSC: 17A32 17A70 17B05 17B30 17C10 PDF BibTeX XML Cite \textit{M. Pouye} et al., J. Adv. Math. Stud. 14, No. 3, 399--419 (2021; Zbl 07460076) Full Text: Link OpenURL
Hernández, Isabel; Rodrigues, Rodrigo Lucas; Vanegas, Elkin Oveimar Quintero Low-dimensional commutative power-associative superalgebras. (English) Zbl 07456363 Int. J. Algebra Comput. 31, No. 8, 1613-1632 (2021). MSC: 17A70 17A05 17C27 PDF BibTeX XML Cite \textit{I. Hernández} et al., Int. J. Algebra Comput. 31, No. 8, 1613--1632 (2021; Zbl 07456363) Full Text: DOI OpenURL
Zhuchok, Anatolii V. Relatively free dimonoids and bar-units. (English) Zbl 07456361 Int. J. Algebra Comput. 31, No. 8, 1587-1599 (2021). MSC: 08B20 20M10 20M50 17A30 17A32 PDF BibTeX XML Cite \textit{A. V. Zhuchok}, Int. J. Algebra Comput. 31, No. 8, 1587--1599 (2021; Zbl 07456361) Full Text: DOI OpenURL
Gardner, Barry J. Steiner triple algebras. (English) Zbl 07455877 Acta Math. Univ. Comen., New Ser. 90, No. 1, 27-42 (2021). MSC: 17A99 05B07 PDF BibTeX XML Cite \textit{B. J. Gardner}, Acta Math. Univ. Comen., New Ser. 90, No. 1, 27--42 (2021; Zbl 07455877) Full Text: Link OpenURL
Cho, Ilwoo; Jorgensen, Palle E. T. The semicircular law of free probability as noncommutative multivariable operator theory. (English) Zbl 07450825 Adv. Oper. Theory 6, No. 4, Paper No. 69, 40 p. (2021). MSC: 47A99 05C62 17A50 18B40 PDF BibTeX XML Cite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Adv. Oper. Theory 6, No. 4, Paper No. 69, 40 p. (2021; Zbl 07450825) Full Text: DOI OpenURL
Kurdachenko, L. A.; Pypka, A. A.; Subbotin, I. Ya. On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras. (English) Zbl 07450246 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 5, 12-17 (2021). MSC: 17A32 17B65 PDF BibTeX XML Cite \textit{L. A. Kurdachenko} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 5, 12--17 (2021; Zbl 07450246) Full Text: DOI OpenURL
Conseibo, A.; Savadogo, S.; Ouattara, M. Duplicate, Bernstein algebras and evolution algebras. (English) Zbl 07446608 Matematiche 76, No. 1, 193-209 (2021). MSC: 17D92 17A05 17D99 17A60 PDF BibTeX XML Cite \textit{A. Conseibo} et al., Matematiche 76, No. 1, 193--209 (2021; Zbl 07446608) Full Text: DOI OpenURL
Kurdachenko, I. A.; Pypka, O. O.; Subbotin, I. Ya. On Leibniz algebras whose subalgebras are either ideals or self-idealizing subalgebras. (English. Ukrainian original) Zbl 07441701 Ukr. Math. J. 73, No. 6, 944-962 (2021); translation from Ukr. Mat. Zh. 73, No. 6, 811-826 (2021). MSC: 17Axx 17Bxx 18Gxx PDF BibTeX XML Cite \textit{I. A. Kurdachenko} et al., Ukr. Math. J. 73, No. 6, 944--962 (2021; Zbl 07441701); translation from Ukr. Mat. Zh. 73, No. 6, 811--826 (2021) Full Text: DOI OpenURL
Isaev, Ismail Musaevich On the join of cross varieties of algebras. (Russian. English summary) Zbl 07440281 Sib. Èlektron. Mat. Izv. 18, 1299-1306 (2021). MSC: 16R10 17A30 PDF BibTeX XML Cite \textit{I. M. Isaev}, Sib. Èlektron. Mat. Izv. 18, 1299--1306 (2021; Zbl 07440281) Full Text: DOI OpenURL
Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror The algebraic classification of nilpotent commutative algebras. (English) Zbl 07438962 Electron Res. Arch. 29, No. 6, 3909-3993 (2021). MSC: 17A01 17D99 17A99 PDF BibTeX XML Cite \textit{D. Jumaniyozov} et al., Electron Res. Arch. 29, No. 6, 3909--3993 (2021; Zbl 07438962) Full Text: DOI OpenURL
Hou, Ying; Chen, Liangyun Constructions of three kinds of BiHom-superalgebras. (English) Zbl 07438953 Electron Res. Arch. 29, No. 6, 3741-3760 (2021). MSC: 17A15 17A60 17D05 17D10 17B61 PDF BibTeX XML Cite \textit{Y. Hou} and \textit{L. Chen}, Electron Res. Arch. 29, No. 6, 3741--3760 (2021; Zbl 07438953) Full Text: DOI OpenURL
Fan, Yusi; Yao, Chenrui; Chen, Liangyun Structure of sympathetic Lie superalgebras. (English) Zbl 07438914 Electron Res. Arch. 29, No. 5, 2945-2957 (2021). MSC: 17A30 16E40 PDF BibTeX XML Cite \textit{Y. Fan} et al., Electron Res. Arch. 29, No. 5, 2945--2957 (2021; Zbl 07438914) Full Text: DOI OpenURL
Tao, Yaling; Cao, Yan On split regular BiHom-Poisson color algebras. (English) Zbl 07435670 Open Math. 19, 600-613 (2021). MSC: 17B75 17A60 17B22 17B65 PDF BibTeX XML Cite \textit{Y. Tao} and \textit{Y. Cao}, Open Math. 19, 600--613 (2021; Zbl 07435670) Full Text: DOI OpenURL
Rezaei-Aghdam, Adel; Sedghi-Ghadim, Leila; Haghighatdoost, Ghorbanali Leibniz bialgebras, classical Yang-Baxter equations and dynamical systems. (English) Zbl 07434844 Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 77, 20 p. (2021). MSC: 17A32 17B62 16T25 PDF BibTeX XML Cite \textit{A. Rezaei-Aghdam} et al., Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 77, 20 p. (2021; Zbl 07434844) Full Text: DOI OpenURL
Attan, S. Structure and bimodules of simple Hom-alternative algebras. (English) Zbl 07434051 Extr. Math. 36, No. 1, 1-24 (2021). MSC: 17A30 17D15 PDF BibTeX XML Cite \textit{S. Attan}, Extr. Math. 36, No. 1, 1--24 (2021; Zbl 07434051) Full Text: DOI OpenURL
Kleinfeld, Erwin; Segev, Yoav Alternative rings whose associators are not zero-divisors. (English) Zbl 07433918 Arch. Math. 117, No. 6, 613-616 (2021). MSC: 17D05 17A35 PDF BibTeX XML Cite \textit{E. Kleinfeld} and \textit{Y. Segev}, Arch. Math. 117, No. 6, 613--616 (2021; Zbl 07433918) Full Text: DOI OpenURL
McDougall, R. G.; Thornton, L. K. A comparison of Kurosh-Amitsur and base radical classes. (English) Zbl 07432853 Beitr. Algebra Geom. 62, No. 4, 871-882 (2021). Reviewer: Stefan Veldsman (Port Elizabeth) MSC: 16N80 17A65 PDF BibTeX XML Cite \textit{R. G. McDougall} and \textit{L. K. Thornton}, Beitr. Algebra Geom. 62, No. 4, 871--882 (2021; Zbl 07432853) Full Text: DOI OpenURL
Ismailov, N. A.; Dzhumadil’daev, A. S. Binary Leibniz algebras. (English. Russian original) Zbl 07431852 Math. Notes 110, No. 3, 322-328 (2021); translation from Mat. Zametki 110, No. 3, 336-344 (2021). MSC: 17Axx 17Bxx 17Dxx PDF BibTeX XML Cite \textit{N. A. Ismailov} and \textit{A. S. Dzhumadil'daev}, Math. Notes 110, No. 3, 322--328 (2021; Zbl 07431852); translation from Mat. Zametki 110, No. 3, 336--344 (2021) Full Text: DOI OpenURL
Santos Filho, G.; Murakami, L.; Shestakov, I. Locally finite coalgebras and the locally nilpotent radical. II. (English) Zbl 07431311 Commun. Algebra 49, No. 12, 5472-5482 (2021). MSC: 17A99 17D15 17A65 PDF BibTeX XML Cite \textit{G. Santos Filho} et al., Commun. Algebra 49, No. 12, 5472--5482 (2021; Zbl 07431311) Full Text: DOI OpenURL
Rodrigues, R. Lucas; Quintero Vanegas, E. O. Representations of power-associative train algebras of rank 4. (English) Zbl 07431305 Commun. Algebra 49, No. 12, 5392-5401 (2021). MSC: 17A30 17A05 15A04 15A78 17A60 PDF BibTeX XML Cite \textit{R. L. Rodrigues} and \textit{E. O. Quintero Vanegas}, Commun. Algebra 49, No. 12, 5392--5401 (2021; Zbl 07431305) Full Text: DOI OpenURL
Ben Hassine, Abdelkader; Chtioui, Taoufik; Mabrouk, Sami Nijenhuis operators on 3-Hom-L-dendriform algebras. (English) Zbl 07431304 Commun. Algebra 49, No. 12, 5367-5391 (2021). MSC: 17A40 17B38 17B61 PDF BibTeX XML Cite \textit{A. Ben Hassine} et al., Commun. Algebra 49, No. 12, 5367--5391 (2021; Zbl 07431304) Full Text: DOI OpenURL
Kleinfeld, Erwin; Segev, Yoav A short characterization of the octonions. (English) Zbl 07431302 Commun. Algebra 49, No. 12, 5347-5353 (2021). MSC: 17D05 17A35 PDF BibTeX XML Cite \textit{E. Kleinfeld} and \textit{Y. Segev}, Commun. Algebra 49, No. 12, 5347--5353 (2021; Zbl 07431302) Full Text: DOI OpenURL
Mainellis, Erik Nonabelian extensions and factor systems for the algebras of Loday. (English) Zbl 07431291 Commun. Algebra 49, No. 12, 5196-5213 (2021). MSC: 17A01 17A30 17A32 PDF BibTeX XML Cite \textit{E. Mainellis}, Commun. Algebra 49, No. 12, 5196--5213 (2021; Zbl 07431291) Full Text: DOI OpenURL
Taş Adiyaman, Tuba; Özkurt, Zeynep Automorphisms of free metabelian Leibniz algebras. (English) Zbl 07431264 Commun. Algebra 49, No. 10, 4348-4359 (2021). MSC: 17A32 17A36 17A50 PDF BibTeX XML Cite \textit{T. Taş Adiyaman} and \textit{Z. Özkurt}, Commun. Algebra 49, No. 10, 4348--4359 (2021; Zbl 07431264) Full Text: DOI OpenURL
Galt, Alexey; Joshi, Vijay; Mamontov, Andrey; Shpectorov, Sergey; Staroletov, Alexey Double axes and subalgebras of monster type in Matsuo algebras. (English) Zbl 07431254 Commun. Algebra 49, No. 10, 4208-4248 (2021). MSC: 17A99 20F29 PDF BibTeX XML Cite \textit{A. Galt} et al., Commun. Algebra 49, No. 10, 4208--4248 (2021; Zbl 07431254) Full Text: DOI OpenURL
Foissy, Loïc Algebraic structures on typed decorated rooted trees. (English) Zbl 07431225 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 086, 28 p. (2021). MSC: 17A30 16T05 18M60 05C05 17B35 16T30 17D25 PDF BibTeX XML Cite \textit{L. Foissy}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 086, 28 p. (2021; Zbl 07431225) Full Text: DOI OpenURL
Bruce, Andrew James Homological sections of Lie algebroids. (English) Zbl 07430915 Differ. Geom. Appl. 79, Article ID 101826, 21 p. (2021). MSC: 53D17 58A50 16E45 17A32 17B70 PDF BibTeX XML Cite \textit{A. J. Bruce}, Differ. Geom. Appl. 79, Article ID 101826, 21 p. (2021; Zbl 07430915) Full Text: DOI OpenURL
Lodder, Jerry M. Leibniz cohomology and connections on differentiable manifolds. (English) Zbl 07430914 Differ. Geom. Appl. 79, Article ID 101819, 15 p. (2021). MSC: 17A32 53B05 PDF BibTeX XML Cite \textit{J. M. Lodder}, Differ. Geom. Appl. 79, Article ID 101819, 15 p. (2021; Zbl 07430914) Full Text: DOI OpenURL
Saha, Ripan On equivariant Hom-Leibniz cohomology. (English) Zbl 07430333 Afr. Mat. 32, No. 7-8, 1685-1696 (2021). MSC: 17A30 17D99 55N91 PDF BibTeX XML Cite \textit{R. Saha}, Afr. Mat. 32, No. 7--8, 1685--1696 (2021; Zbl 07430333) Full Text: DOI OpenURL
Casas, José Manuel; Fernández-Casado, R.; García-Martínez, Xabier; Khmaladze, Emzar Actor of a crossed module of dialgebras via tetramultipliers. (English) Zbl 07428792 Hacet. J. Math. Stat. 50, No. 4, 1063-1078 (2021). MSC: 17A30 17A32 18E13 PDF BibTeX XML Cite \textit{J. M. Casas} et al., Hacet. J. Math. Stat. 50, No. 4, 1063--1078 (2021; Zbl 07428792) Full Text: DOI OpenURL
Golubkov, A. Yu. Algebraic Lie algebras of bounded degree. (English. Russian original) Zbl 07427853 J. Math. Sci., New York 259, No. 4, 528-551 (2021); translation from Fundam. Prikl. Mat. 22, No. 5, 209-242 (2019). MSC: 17Bxx 17Axx 17Dxx PDF BibTeX XML Cite \textit{A. Yu. Golubkov}, J. Math. Sci., New York 259, No. 4, 528--551 (2021; Zbl 07427853); translation from Fundam. Prikl. Mat. 22, No. 5, 209--242 (2019) Full Text: DOI OpenURL
Goudarzi, Leila; Riyahi, Zahra On theta pairs and theta completions for proper subalgebras in Leibniz algebras. (English) Zbl 07426842 Bull. Iran. Math. Soc. 47, No. 5, 1505-1512 (2021). MSC: 17A32 PDF BibTeX XML Cite \textit{L. Goudarzi} and \textit{Z. Riyahi}, Bull. Iran. Math. Soc. 47, No. 5, 1505--1512 (2021; Zbl 07426842) Full Text: DOI OpenURL
Kurbanbaev, Tuuelbay; Turdibaev, Rustam Finite-dimensional Leibniz algebra representations of \(\mathfrak{sl}_2\). (English) Zbl 07426827 Hacet. J. Math. Stat. 50, No. 3, 845-854 (2021). MSC: 17A32 PDF BibTeX XML Cite \textit{T. Kurbanbaev} and \textit{R. Turdibaev}, Hacet. J. Math. Stat. 50, No. 3, 845--854 (2021; Zbl 07426827) Full Text: DOI OpenURL
Owen, Adam; Pumplün, Susanne A generalisation of Amitsur’s A-polynomials. (English) Zbl 07426424 Commun. Math. 29, No. 2, 281-289 (2021). MSC: 17A35 17A60 17A36 16S36 PDF BibTeX XML Cite \textit{A. Owen} and \textit{S. Pumplün}, Commun. Math. 29, No. 2, 281--289 (2021; Zbl 07426424) Full Text: DOI OpenURL
Arzikulov, Farhodjon; Umrzaqov, Nodirbek Conservative algebras of 2-dimensional algebras. III. (English) Zbl 07426422 Commun. Math. 29, No. 2, 255-267 (2021). MSC: 17A36 17A30 17A15 PDF BibTeX XML Cite \textit{F. Arzikulov} and \textit{N. Umrzaqov}, Commun. Math. 29, No. 2, 255--267 (2021; Zbl 07426422) Full Text: DOI OpenURL
Calderón Martín, Antonio J.; Dieme, Boubacar Certain partitions on a set and their applications to different classes of graded algebras. (English) Zbl 07426421 Commun. Math. 29, No. 2, 243-254 (2021). MSC: 03E75 17A01 16W50 08A05 17A45 PDF BibTeX XML Cite \textit{A. J. Calderón Martín} and \textit{B. Dieme}, Commun. Math. 29, No. 2, 243--254 (2021; Zbl 07426421) Full Text: DOI OpenURL
Kadyrov, Shirali; Mashurov, Farukh Unified computational approach to nilpotent algebra classification problems. (English) Zbl 07426419 Commun. Math. 29, No. 2, 215-226 (2021). MSC: 17A30 68W30 PDF BibTeX XML Cite \textit{S. Kadyrov} and \textit{F. Mashurov}, Commun. Math. 29, No. 2, 215--226 (2021; Zbl 07426419) Full Text: DOI OpenURL
Abdurasulov, K. K.; Khudoyberdiyev, A. Kh.; Ladra, M.; Sattarov, A. M. Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras. (English) Zbl 07426418 Commun. Math. 29, No. 2, 187-213 (2021). MSC: 17A32 17A36 17B30 PDF BibTeX XML Cite \textit{K. K. Abdurasulov} et al., Commun. Math. 29, No. 2, 187--213 (2021; Zbl 07426418) Full Text: DOI OpenURL
Zargeh, Chia Existentially closed Leibniz algebras and an embedding theorem. (English) Zbl 07426415 Commun. Math. 29, No. 2, 163-170 (2021). MSC: 17A32 17A36 16S15 PDF BibTeX XML Cite \textit{C. Zargeh}, Commun. Math. 29, No. 2, 163--170 (2021; Zbl 07426415) Full Text: DOI OpenURL
Altawallbeh, Zuhier Chain level proof for the isomorphism between Lie and Hochschild homologies. (English) Zbl 07425620 Asian-Eur. J. Math. 14, No. 7, Article ID 2150113, 7 p. (2021). MSC: 17B56 13D03 16E40 18G60 19D55 17A32 17B35 PDF BibTeX XML Cite \textit{Z. Altawallbeh}, Asian-Eur. J. Math. 14, No. 7, Article ID 2150113, 7 p. (2021; Zbl 07425620) Full Text: DOI OpenURL
Bruce, Andrew James; Ibarguëngoytia, Eduardo; Poncin, Norbert Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions. (English) Zbl 07425535 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 060, 58 p. (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58A50 58C50 14A22 14L30 13F25 16L30 17A70 PDF BibTeX XML Cite \textit{A. J. Bruce} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 060, 58 p. (2021; Zbl 07425535) Full Text: DOI OpenURL
Niazi, Mohsen; Miri, Mohammad Reza Dual space valued mappings on \(\mathrm{C}^{\ast}\)-algebras which are ternary derivable at zero. (English) Zbl 07424820 Mediterr. J. Math. 18, No. 6, Paper No. 245, 14 p. (2021). MSC: 46L57 17A36 17C65 PDF BibTeX XML Cite \textit{M. Niazi} and \textit{M. R. Miri}, Mediterr. J. Math. 18, No. 6, Paper No. 245, 14 p. (2021; Zbl 07424820) Full Text: DOI OpenURL
Alhefthi, Reem K.; Siddiqui, Akhlaq A.; Jamjoom, Fatmah B. Quasi Jordan algebras with involution. (English) Zbl 07422451 Indian J. Pure Appl. Math. 52, No. 1, 112-124 (2021). MSC: 17C50 17A30 17B40 PDF BibTeX XML Cite \textit{R. K. Alhefthi} et al., Indian J. Pure Appl. Math. 52, No. 1, 112--124 (2021; Zbl 07422451) Full Text: DOI OpenURL
Musiker, Gregg; Ovenhouse, Nicholas; Zhang, Sylvester W. An expansion formula for decorated super-Teichmüller spaces. (English) Zbl 07420105 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 080, 34 p. (2021). MSC: 13F60 17A70 30F60 PDF BibTeX XML Cite \textit{G. Musiker} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 080, 34 p. (2021; Zbl 07420105) Full Text: DOI OpenURL
Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror The algebraic and geometric classification of nilpotent noncommutative Jordan algebras. (English) Zbl 07420037 J. Algebra Appl. 20, No. 11, Article ID 2150202, 18 p. (2021). MSC: 17A15 17C55 PDF BibTeX XML Cite \textit{D. Jumaniyozov} et al., J. Algebra Appl. 20, No. 11, Article ID 2150202, 18 p. (2021; Zbl 07420037) Full Text: DOI OpenURL
Kaygorodov, Ivan; Khrypchenko, Mykola The geometric classification of nilpotent \(\mathfrak{CD} \)-algebras. (English) Zbl 07420033 J. Algebra Appl. 20, No. 11, Article ID 2150198, 19 p. (2021). MSC: 17A30 17D99 17B30 PDF BibTeX XML Cite \textit{I. Kaygorodov} and \textit{M. Khrypchenko}, J. Algebra Appl. 20, No. 11, Article ID 2150198, 19 p. (2021; Zbl 07420033) Full Text: DOI OpenURL
Ben Hassine, Abdelkader; Chtioui, Taoufik; Mabrouk, Sami; Silvestrov, Sergei Structure and cohomology of 3-Lie-Rinehart superalgebras. (English) Zbl 07416234 Commun. Algebra 49, No. 11, 4883-4904 (2021). MSC: 17A40 17B05 17B60 17B66 53D17 17B61 PDF BibTeX XML Cite \textit{A. Ben Hassine} et al., Commun. Algebra 49, No. 11, 4883--4904 (2021; Zbl 07416234) Full Text: DOI OpenURL
Calderón, Antonio Jesús; Camacho, Luisa María; Kaygorodov, Ivan; Omirov, Bakhrom Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras. (English) Zbl 07416027 J. Geom. Phys. 170, Article ID 104384, 16 p. (2021). Reviewer: Friedrich Wagemann (Nantes) MSC: 17A32 17B30 17B40 PDF BibTeX XML Cite \textit{A. J. Calderón} et al., J. Geom. Phys. 170, Article ID 104384, 16 p. (2021; Zbl 07416027) Full Text: DOI OpenURL
Dassoundo, Mafoya Landry Pre-anti-flexible bialgebras. (English) Zbl 07415893 Commun. Algebra 49, No. 9, 4050-4078 (2021). MSC: 17A20 17D25 16T10 17B38 16T25 PDF BibTeX XML Cite \textit{M. L. Dassoundo}, Commun. Algebra 49, No. 9, 4050--4078 (2021; Zbl 07415893) Full Text: DOI OpenURL
Remm, Elisabeth Weakly associative algebras, Poisson algebras and deformation quantization. (English) Zbl 07415882 Commun. Algebra 49, No. 9, 3881-3904 (2021). MSC: 17A30 53D55 17B63 17D25 PDF BibTeX XML Cite \textit{E. Remm}, Commun. Algebra 49, No. 9, 3881--3904 (2021; Zbl 07415882) Full Text: DOI OpenURL
Behn, A.; Correa, Ivan; Gutierrez Fernandez, Juan C.; Garcia, C. I. About nilalgebras satisfying \((xy)^2 = x^2y^2\). (English) Zbl 07415868 Commun. Algebra 49, No. 9, 3708-3719 (2021). MSC: 17A05 17A30 PDF BibTeX XML Cite \textit{A. Behn} et al., Commun. Algebra 49, No. 9, 3708--3719 (2021; Zbl 07415868) Full Text: DOI OpenURL
Hou, Ying; Tang, Liming; Chen, Liangyun Product and complex structures on \(\operatorname{Hom}\)-Lie superalgebras. (English) Zbl 07415867 Commun. Algebra 49, No. 9, 3685-3707 (2021). MSC: 17A30 17B61 17D25 53C15 53D05 PDF BibTeX XML Cite \textit{Y. Hou} et al., Commun. Algebra 49, No. 9, 3685--3707 (2021; Zbl 07415867) Full Text: DOI OpenURL
Janssens, Bas; Ryvkin, Leonid; Vizman, Cornelia The \(L_\infty \)-algebra of a symplectic manifold. (English) Zbl 07415009 Pac. J. Math. 314, No. 1, 81-98 (2021). MSC: 53D05 53D17 17A42 17B66 PDF BibTeX XML Cite \textit{B. Janssens} et al., Pac. J. Math. 314, No. 1, 81--98 (2021; Zbl 07415009) Full Text: DOI OpenURL
García-Martínez, X.; Tsishyn, M.; Van der Linden, T.; Vienne, C. Algebras with representable representations. (English) Zbl 07414994 Proc. Edinb. Math. Soc., II. Ser. 64, No. 3, 555-573 (2021). MSC: 17A36 18D35 18G50 08A35 08C05 18C05 18E13 PDF BibTeX XML Cite \textit{X. García-Martínez} et al., Proc. Edinb. Math. Soc., II. Ser. 64, No. 3, 555--573 (2021; Zbl 07414994) Full Text: DOI OpenURL
Zhuchok, A. V. Structure of relatively free trioids. (English) Zbl 07414256 Algebra Discrete Math. 31, No. 1, 152-166 (2021). MSC: 08B20 20M10 20M50 17A30 17D99 PDF BibTeX XML Cite \textit{A. V. Zhuchok}, Algebra Discrete Math. 31, No. 1, 152--166 (2021; Zbl 07414256) Full Text: DOI OpenURL
Mandal, Ashis; Mishra, Satyendra Kumar Universal central extensions and non-abelian tensor product of Hom-Lie-Rinehart algebras. (English) Zbl 07413536 Colloq. Math. 166, No. 1, 23-52 (2021). MSC: 17A30 17B55 17B61 PDF BibTeX XML Cite \textit{A. Mandal} and \textit{S. K. Mishra}, Colloq. Math. 166, No. 1, 23--52 (2021; Zbl 07413536) Full Text: DOI OpenURL
Alvarez, María Alejandra; Kaygorodov, Ivan The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras. (English) Zbl 07413112 J. Algebra 588, 278-314 (2021). MSC: 17A30 17A32 14D06 14L30 PDF BibTeX XML Cite \textit{M. A. Alvarez} and \textit{I. Kaygorodov}, J. Algebra 588, 278--314 (2021; Zbl 07413112) Full Text: DOI OpenURL
Ludkowski, S. V. Completions and homomorphisms of infinite dimensional Cayley-Dickson algebras. (English) Zbl 07412208 Linear Multilinear Algebra 69, No. 11, 2040-2049 (2021). MSC: 17A05 17A36 47C10 47C15 PDF BibTeX XML Cite \textit{S. V. Ludkowski}, Linear Multilinear Algebra 69, No. 11, 2040--2049 (2021; Zbl 07412208) Full Text: DOI OpenURL
Muratova, Kh. A.; Khudoyberdiyev, A. Kh. On Leibniz superalgebras which even part is \(\mathfrak{sl}_2\). (English) Zbl 07411998 J. Algebra Appl. 20, No. 9, Article ID 2150161, 14 p. (2021). MSC: 17A32 17A36 17B30 PDF BibTeX XML Cite \textit{Kh. A. Muratova} and \textit{A. Kh. Khudoyberdiyev}, J. Algebra Appl. 20, No. 9, Article ID 2150161, 14 p. (2021; Zbl 07411998) Full Text: DOI OpenURL
Tvalavadze, Marina; Motya, Noureddine; Rochdi, Abdellatif Duplication methods for embeddings of real division algebras. (English) Zbl 07411764 J. Algebra Appl. 20, No. 8, Article ID 2250063, 24 p. (2021). MSC: 17A35 17A36 PDF BibTeX XML Cite \textit{M. Tvalavadze} et al., J. Algebra Appl. 20, No. 8, Article ID 2250063, 24 p. (2021; Zbl 07411764) Full Text: DOI OpenURL
Alkhezi, Yousuf; Bani-Ata, Mshhour The stabilizer of two-dimensional vector space of 27-dimensional module of type \(E_6\) over a field of characteristic two. (English) Zbl 07411761 J. Algebra Appl. 20, No. 8, Article ID 2150151, 10 p. (2021). MSC: 17A75 17A45 17B25 PDF BibTeX XML Cite \textit{Y. Alkhezi} and \textit{M. Bani-Ata}, J. Algebra Appl. 20, No. 8, Article ID 2150151, 10 p. (2021; Zbl 07411761) Full Text: DOI OpenURL
Sheng, Yunhe; Zhao, Jia; Zhou, Yanqiu Nijenhuis operators, product structures and complex structures on Lie-Yamaguti algebras. (English) Zbl 07411756 J. Algebra Appl. 20, No. 8, Article ID 2150146, 22 p. (2021). MSC: 17B56 17A30 PDF BibTeX XML Cite \textit{Y. Sheng} et al., J. Algebra Appl. 20, No. 8, Article ID 2150146, 22 p. (2021; Zbl 07411756) Full Text: DOI OpenURL
Marko, František A combinatorial approach to Donkin-Koppinen filtrations of general linear supergroups. (English) Zbl 07409830 Commun. Algebra 49, No. 7, 2961-2975 (2021). MSC: 20G05 05E16 17A70 PDF BibTeX XML Cite \textit{F. Marko}, Commun. Algebra 49, No. 7, 2961--2975 (2021; Zbl 07409830) Full Text: DOI OpenURL
Entova-Aizenbud, Inna; Serganova, Vera Deligne categories and the periplectic Lie superalgebra. (English) Zbl 1472.18014 Mosc. Math. J. 21, No. 3, 507-565 (2021). Reviewer: Mee Seong Im (West Point) MSC: 18M05 17A70 17B10 17B20 PDF BibTeX XML Cite \textit{I. Entova-Aizenbud} and \textit{V. Serganova}, Mosc. Math. J. 21, No. 3, 507--565 (2021; Zbl 1472.18014) Full Text: Link OpenURL
Makhlouf, Abdenacer; Naolekar, Anita On \(n\)-Hom-Leibniz algebras and cohomology. (English) Zbl 07405841 Georgian Math. J. 28, No. 5, 765-786 (2021). MSC: 17A32 17A42 PDF BibTeX XML Cite \textit{A. Makhlouf} and \textit{A. Naolekar}, Georgian Math. J. 28, No. 5, 765--786 (2021; Zbl 07405841) Full Text: DOI OpenURL
Kamiya, Noriaki Triality groups associated with triple systems and their homotope algebras. (English) Zbl 07405812 Ann. Math. Sil. 35, No. 2, 184-210 (2021). MSC: 17A30 17B40 17C30 20F29 PDF BibTeX XML Cite \textit{N. Kamiya}, Ann. Math. Sil. 35, No. 2, 184--210 (2021; Zbl 07405812) Full Text: DOI OpenURL
Mencattini, Igor; Quesney, Alexandre Crossed morphisms, integration of post-Lie algebras and the post-Lie Magnus expansion. (English) Zbl 07405295 Commun. Algebra 49, No. 8, 3507-3533 (2021). MSC: 16T05 16T10 16T30 17A30 17A50 17B35 17D99 PDF BibTeX XML Cite \textit{I. Mencattini} and \textit{A. Quesney}, Commun. Algebra 49, No. 8, 3507--3533 (2021; Zbl 07405295) Full Text: DOI OpenURL
Camacho, L. M.; Navarro, R. M.; Omirov, B. A. Complex cyclic Leibniz superalgebras. (English) Zbl 07404683 Rev. Mat. Complut. 34, No. 3, 675-690 (2021). MSC: 17A32 17A70 17B30 PDF BibTeX XML Cite \textit{L. M. Camacho} et al., Rev. Mat. Complut. 34, No. 3, 675--690 (2021; Zbl 07404683) Full Text: DOI OpenURL
Teng, Wen; Jin, Jiulin; You, Taijie Linear deformations and abelian extensions of Lie supertriple systems. (Chinese. English summary) Zbl 07404133 J. Shandong Univ., Nat. Sci. 56, No. 4, 14-19, 24 (2021). MSC: 17B05 17A40 PDF BibTeX XML Cite \textit{W. Teng} et al., J. Shandong Univ., Nat. Sci. 56, No. 4, 14--19, 24 (2021; Zbl 07404133) Full Text: DOI OpenURL
Agore, A. L.; Militaru, G. Algebraic constructions for Jacobi-Jordan algebras. (English) Zbl 07403445 Linear Algebra Appl. 630, 158-178 (2021). MSC: 17C10 17C55 17A01 PDF BibTeX XML Cite \textit{A. L. Agore} and \textit{G. Militaru}, Linear Algebra Appl. 630, 158--178 (2021; Zbl 07403445) Full Text: DOI OpenURL
Yao, Chenrui; Ma, Yao; Chen, Liangyun Structure of simple multiplicative Hom-Jordan algebras. (English) Zbl 07403071 Rev. Unión Mat. Argent. 62, No. 1, 153-170 (2021). MSC: 17C10 17C20 17C50 17B10 17A30 PDF BibTeX XML Cite \textit{C. Yao} et al., Rev. Unión Mat. Argent. 62, No. 1, 153--170 (2021; Zbl 07403071) Full Text: DOI OpenURL
Nikonorov, Yu. G. Correction to: “Classification of generalized Wallach spaces”. (English) Zbl 07402708 Geom. Dedicata 214, No. 1, 849-851 (2021). MSC: 53C30 53C35 53C44 17A36 17B40 PDF BibTeX XML Cite \textit{Yu. G. Nikonorov}, Geom. Dedicata 214, No. 1, 849--851 (2021; Zbl 07402708) Full Text: DOI OpenURL
Kurdachenko, L. A.; Pypka, A. A.; Subbotin, I. Ya. On analogs of some classical group-theoretic results in Poisson algebras. (English) Zbl 07402556 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 3, 11-16 (2021). MSC: 17B63 17A60 PDF BibTeX XML Cite \textit{L. A. Kurdachenko} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2021, No. 3, 11--16 (2021; Zbl 07402556) Full Text: DOI OpenURL
Moran, Tomer; Moran, Shay; Moran, Shlomo Elementary derivations of the Euclidean Hurwitz algebras: adapted from Gadi Moran’s last paper. (English) Zbl 07401232 Am. Math. Mon. 128, No. 8, 726-736 (2021). MSC: 17A75 PDF BibTeX XML Cite \textit{T. Moran} et al., Am. Math. Mon. 128, No. 8, 726--736 (2021; Zbl 07401232) Full Text: DOI OpenURL
Pchelintsev, S. V. Central isotopes of \((-1,1) \)-algebras. (English. Russian original) Zbl 07401165 Sib. Math. J. 62, No. 4, 678-690 (2021); translation from Sib. Mat. Zh. 62, No. 4, 830-844 (2021). MSC: 17Dxx 17Axx 17Cxx PDF BibTeX XML Cite \textit{S. V. Pchelintsev}, Sib. Math. J. 62, No. 4, 678--690 (2021; Zbl 07401165); translation from Sib. Mat. Zh. 62, No. 4, 830--844 (2021) Full Text: DOI OpenURL
Xu, Zhenghua Bohr theorems for slice regular functions over octonions. (English) Zbl 07400633 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1595-1610 (2021). MSC: 30G35 17A35 PDF BibTeX XML Cite \textit{Z. Xu}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1595--1610 (2021; Zbl 07400633) Full Text: DOI OpenURL
Zaicev, M. V.; Mishchenko, S. P. Codimension sequences and their asymptotic behavior. (English. Russian original) Zbl 07399173 J. Math. Sci., New York 257, No. 6, 825-833 (2021); translation from Fundam. Prikl. Mat. 22, No. 4, 115-127 (2019). MSC: 17A30 PDF BibTeX XML Cite \textit{M. V. Zaicev} and \textit{S. P. Mishchenko}, J. Math. Sci., New York 257, No. 6, 825--833 (2021; Zbl 07399173); translation from Fundam. Prikl. Mat. 22, No. 4, 115--127 (2019) Full Text: DOI OpenURL
Duisengaliyeva, B. A.; Naurazbekova, A. S.; Umirbaev, U. U. Tame and wild automorphisms of differential polynomial algebras of rank 2. (English. Russian original) Zbl 07399172 J. Math. Sci., New York 257, No. 6, 814-824 (2021); translation from Fundam. Prikl. Mat. 22, No. 4, 101-114 (2019). MSC: 14Rxx 16Sxx 17Axx PDF BibTeX XML Cite \textit{B. A. Duisengaliyeva} et al., J. Math. Sci., New York 257, No. 6, 814--824 (2021; Zbl 07399172); translation from Fundam. Prikl. Mat. 22, No. 4, 101--114 (2019) Full Text: DOI OpenURL
Enriquez, Benjamin; Furusho, Hidekazu The Betti side of the double shuffle theory. I. The harmonic coproducts. (English) Zbl 07397236 Sel. Math., New Ser. 27, No. 5, Paper No. 79, 106 p. (2021). MSC: 11M32 20F36 17A50 PDF BibTeX XML Cite \textit{B. Enriquez} and \textit{H. Furusho}, Sel. Math., New Ser. 27, No. 5, Paper No. 79, 106 p. (2021; Zbl 07397236) Full Text: DOI OpenURL
Wu, Zhixiang Leibniz conformal algebras of rank three. (English) Zbl 07396371 Asashiba, Hideto (ed.) et al., Ring theory 2019. Proceedings of the eighth China-Japan-Korea international symposium on ring theory. Nagoya University, Nagoya, Japan, August 26–31, 2019. Hackensack, NJ: World Scientific. 214-231 (2021). MSC: 17A32 16T05 PDF BibTeX XML Cite \textit{Z. Wu}, in: Ring theory 2019. Proceedings of the eighth China-Japan-Korea international symposium on ring theory. Nagoya University, Nagoya, Japan, August 26--31, 2019. Hackensack, NJ: World Scientific. 214--231 (2021; Zbl 07396371) Full Text: DOI OpenURL
Faraj, Anwar Khaleel; Abduldaim, Areej M. Commutativity and prime ideals with proposed algebraic identities. (English) Zbl 07394959 Int. J. Math. Comput. Sci. 16, No. 4, 1607-1622 (2021). MSC: 47B47 17A36 16W25 16N60 PDF BibTeX XML Cite \textit{A. K. Faraj} and \textit{A. M. Abduldaim}, Int. J. Math. Comput. Sci. 16, No. 4, 1607--1622 (2021; Zbl 07394959) Full Text: Link OpenURL
Attan, Sylvain; Gaparayi, Donatien; Issa, A. Nourou On Hom-Leibniz and Hom-Lie-Yamaguti superalgebras. (English) Zbl 07394884 Discuss. Math., Gen. Algebra Appl. 41, No. 2, 249-251 (2021). MSC: 17A30 17A32 17D99 PDF BibTeX XML Cite \textit{S. Attan} et al., Discuss. Math., Gen. Algebra Appl. 41, No. 2, 249--251 (2021; Zbl 07394884) Full Text: DOI OpenURL
Bakayoko, Ibrahima; Silvestrov, Sergei Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau’s twisting generalizations. (English) Zbl 07394730 Afr. Mat. 32, No. 5-6, 941-958 (2021). MSC: 17D30 17B61 17A30 17A32 PDF BibTeX XML Cite \textit{I. Bakayoko} and \textit{S. Silvestrov}, Afr. Mat. 32, No. 5--6, 941--958 (2021; Zbl 07394730) Full Text: DOI OpenURL
Kurdiani, Revaz Lie triple systems and Leibniz algebras. (English) Zbl 07394019 Georgian Math. J. 28, No. 1, 109-116 (2021). MSC: 17A32 17A40 17B60 PDF BibTeX XML Cite \textit{R. Kurdiani}, Georgian Math. J. 28, No. 1, 109--116 (2021; Zbl 07394019) Full Text: DOI OpenURL
Boulmane, Said Central extension of left alternative algebras and the second cohomology group. (English) Zbl 07392330 Int. J. Math. Math. Sci. 2021, Article ID 5436464, 3 p. (2021). MSC: 17Dxx 17Axx 17Cxx PDF BibTeX XML Cite \textit{S. Boulmane}, Int. J. Math. Math. Sci. 2021, Article ID 5436464, 3 p. (2021; Zbl 07392330) Full Text: DOI OpenURL
Adashev, J. Q.; Yusupov, B. B. Local derivation of naturally graded quasi-filiform Leibniz algebras. (English) Zbl 07388148 Uzb. Mat. Zh. 65, No. 1, 28-41 (2021). MSC: 17A32 17A36 17A65 17B30 PDF BibTeX XML Cite \textit{J. Q. Adashev} and \textit{B. B. Yusupov}, Uzb. Mat. Zh. 65, No. 1, 28--41 (2021; Zbl 07388148) Full Text: DOI OpenURL
Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan; Lopatkin, Viktor \(\frac{1}{2}\)-derivations of Lie algebras and transposed Poisson algebras. (English) Zbl 07388090 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 142, 19 p. (2021). MSC: 17A30 17B40 17B63 PDF BibTeX XML Cite \textit{B. L. M. Ferreira} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 142, 19 p. (2021; Zbl 07388090) Full Text: DOI OpenURL
Boyom, Michel Nguiffo The last formula of Jean-Louis Koszul. (English) Zbl 07385423 Inf. Geom. 4, No. 1, 263-310 (2021). MSC: 17A30 53B05 16E40 53C12 53C20 PDF BibTeX XML Cite \textit{M. N. Boyom}, Inf. Geom. 4, No. 1, 263--310 (2021; Zbl 07385423) Full Text: DOI OpenURL
Aaghabali, Mehdi; Bien, Mai Hoang Subnormal subgroups and self-invariant maximal subfields in division rings. (English) Zbl 07385183 J. Algebra 586, 844-856 (2021). MSC: 17A35 16K40 PDF BibTeX XML Cite \textit{M. Aaghabali} and \textit{M. H. Bien}, J. Algebra 586, 844--856 (2021; Zbl 07385183) Full Text: DOI OpenURL
Bui, Thuy; Yamskulna, Gaywalee Vertex algebroids and conformal vertex algebras associated with simple Leibniz algebras. (English) Zbl 07385167 J. Algebra 586, 357-401 (2021). MSC: 17B69 81T40 17A32 PDF BibTeX XML Cite \textit{T. Bui} and \textit{G. Yamskulna}, J. Algebra 586, 357--401 (2021; Zbl 07385167) Full Text: DOI OpenURL
Hong, Yanyong; Bai, Chengming On antisymmetric infinitesimal conformal bialgebras. (English) Zbl 07385166 J. Algebra 586, 325-356 (2021). MSC: 16D20 16D70 17A30 17B38 PDF BibTeX XML Cite \textit{Y. Hong} and \textit{C. Bai}, J. Algebra 586, 325--356 (2021; Zbl 07385166) Full Text: DOI OpenURL
Chintala, Vineeth Two lives: compositions of unimodular rows. (English) Zbl 1470.13017 Adv. Math. 389, Article ID 107917, 26 p. (2021). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 13C10 19B14 20G35 15A66 17A75 19A13 PDF BibTeX XML Cite \textit{V. Chintala}, Adv. Math. 389, Article ID 107917, 26 p. (2021; Zbl 1470.13017) Full Text: DOI OpenURL
Gerasimov, A. A.; Lebedev, D. R.; Oblezin, S. V. On the quantum \(\mathfrak{osp}(1|2\ell)\) Toda chain. (English. Russian original) Zbl 1471.81039 Theor. Math. Phys. 208, No. 2, 1004-1017 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 180-195 (2021). MSC: 81Q80 81Q37 51A50 17A70 17B22 37K10 15B10 PDF BibTeX XML Cite \textit{A. A. Gerasimov} et al., Theor. Math. Phys. 208, No. 2, 1004--1017 (2021; Zbl 1471.81039); translation from Teor. Mat. Fiz. 208, No. 2, 180--195 (2021) Full Text: DOI OpenURL