Suárez, Héctor; Reyes, Armando; Suárez, Yésica Homogenized skew PBW extensions. (English) Zbl 1514.16024 Arab. J. Math. 12, No. 1, 247-263 (2023). MSC: 16S36 16S37 16W50 16W70 13N10 PDFBibTeX XMLCite \textit{H. Suárez} et al., Arab. J. Math. 12, No. 1, 247--263 (2023; Zbl 1514.16024) Full Text: DOI arXiv
Briggs, Benjamin; Cameron, James C.; Letz, Janina C.; Pollitz, Josh Koszul homomorphisms and universal resolutions in local algebra. arXiv:2310.08400 Preprint, arXiv:2310.08400 [math.AC] (2023). MSC: 13D02 16S37 16E45 13H10 13F55 BibTeX Cite \textit{B. Briggs} et al., ``Koszul homomorphisms and universal resolutions in local algebra'', Preprint, arXiv:2310.08400 [math.AC] (2023) Full Text: arXiv OA License
Suárez, Héctor; Cáceres, Duban; Reyes, Armando Some special types of determinants in graded skew PBW extensions. (English) Zbl 1489.16027 Rev. Integr. 39, No. 1, 91-107 (2021). MSC: 16S37 16W50 16W70 16S36 13N10 PDFBibTeX XMLCite \textit{H. Suárez} et al., Rev. Integr. 39, No. 1, 91--107 (2021; Zbl 1489.16027) Full Text: DOI
Borzì, Alessio; D’Alì, Alessio Graded algebras with cyclotomic Hilbert series. (English) Zbl 1469.13035 J. Pure Appl. Algebra 225, No. 12, Article ID 106764, 9 p. (2021). Reviewer: Daniel Marín Aragon (Cádiz) MSC: 13D40 13A02 16S37 20M14 13H10 PDFBibTeX XMLCite \textit{A. Borzì} and \textit{A. D'Alì}, J. Pure Appl. Algebra 225, No. 12, Article ID 106764, 9 p. (2021; Zbl 1469.13035) Full Text: DOI arXiv
Gómez, James Yair; Suárez, Héctor Double Ore extensions versus graded skew PBW extensions. (English) Zbl 1437.16043 Commun. Algebra 48, No. 1, 185-197 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 16W50 16S37 16W70 16S36 13N10 PDFBibTeX XMLCite \textit{J. Y. Gómez} and \textit{H. Suárez}, Commun. Algebra 48, No. 1, 185--197 (2020; Zbl 1437.16043) Full Text: DOI arXiv
Myers, John Homological criteria for minimal multiplicity. (English) Zbl 1435.13025 J. Algebra 523, 285-310 (2019). MSC: 13H15 13D07 13D40 13H10 16E30 16S37 16W50 PDFBibTeX XMLCite \textit{J. Myers}, J. Algebra 523, 285--310 (2019; Zbl 1435.13025) Full Text: DOI arXiv
Coyette, Cécile Norms and gauges on Clifford algebra. (English) Zbl 1419.16029 Commun. Algebra 46, No. 10, 4355-4376 (2018). MSC: 16W60 16W50 11E88 15A66 12J20 13A18 20E42 PDFBibTeX XMLCite \textit{C. Coyette}, Commun. Algebra 46, No. 10, 4355--4376 (2018; Zbl 1419.16029) Full Text: DOI
Herzog, Jürgen; Stamate, Dumitru I. Quadratic numerical semigroups and the Koszul property. (English) Zbl 1390.13014 Kyoto J. Math. 57, No. 3, 585-612 (2017). Reviewer: Juan Ignacio García García (Cádiz) MSC: 13A30 16S37 16S36 13C40 13H10 13P10 PDFBibTeX XMLCite \textit{J. Herzog} and \textit{D. I. Stamate}, Kyoto J. Math. 57, No. 3, 585--612 (2017; Zbl 1390.13014) Full Text: DOI arXiv Euclid
Suárez, Héctor Koszulity for graded skew PBW extensions. (English) Zbl 1379.16020 Commun. Algebra 45, No. 10, 4569-4580 (2017). MSC: 16S37 16W50 16W70 16S36 13N10 PDFBibTeX XMLCite \textit{H. Suárez}, Commun. Algebra 45, No. 10, 4569--4580 (2017; Zbl 1379.16020) Full Text: DOI arXiv
Suárez, Héctor; Reyes, Armando A generalized Koszul property for skew PBW extensions. (English) Zbl 1365.16014 Far East J. Math. Sci. (FJMS) 101, No. 2, 301-320 (2017). MSC: 16S37 16W50 16W70 16S36 13N10 PDFBibTeX XMLCite \textit{H. Suárez} and \textit{A. Reyes}, Far East J. Math. Sci. (FJMS) 101, No. 2, 301--320 (2017; Zbl 1365.16014) Full Text: DOI arXiv Link
Suárez, Héctor; Lezama, Oswaldo; Reyes, Armando Nakayama automorphism of quasi-commutative skew PBW extensions over AS-regular algebras. arXiv:1711.11447 Preprint, arXiv:1711.11447 [math.QA] (2017). MSC: 16W50 16S37 16W70 16S36 13N10 BibTeX Cite \textit{H. Suárez} et al., ``Nakayama automorphism of quasi-commutative skew PBW extensions over AS-regular algebras'', Preprint, arXiv:1711.11447 [math.QA] (2017) Full Text: arXiv OA License
Boocher, Adam; D’Alì, Alessio; Grifo, Eloísa; Montaño, Jonathan; Sammartano, Alessio On the growth of deviations. (English) Zbl 1369.13017 Proc. Am. Math. Soc. 144, No. 12, 5049-5060 (2016). Reviewer: Anda-Georgina Olteanu (Constanta) MSC: 13D02 16E45 13D40 16S37 05C25 05C38 PDFBibTeX XMLCite \textit{A. Boocher} et al., Proc. Am. Math. Soc. 144, No. 12, 5049--5060 (2016; Zbl 1369.13017) Full Text: DOI arXiv
Ahangari Maleki, Rasoul; Rossi, Maria Evelina Regularity and linearity defect of modules over local rings. (English) Zbl 1321.13004 J. Commut. Algebra 6, No. 4, 485-504 (2014). Reviewer: Toma Albu (Bucureşti) MSC: 13D02 13A30 13D07 13C99 16S37 PDFBibTeX XMLCite \textit{R. Ahangari Maleki} and \textit{M. E. Rossi}, J. Commut. Algebra 6, No. 4, 485--504 (2014; Zbl 1321.13004) Full Text: DOI arXiv Euclid
Maleki, Rasoul Ahangari On the regularity and Koszulness of modules over local rings. (English) Zbl 1295.13021 Commun. Algebra 42, No. 8, 3438-3452 (2014). Reviewer: Takesi Kawasaki (Tokyo) MSC: 13D02 13D07 16W50 16S37 PDFBibTeX XMLCite \textit{R. A. Maleki}, Commun. Algebra 42, No. 8, 3438--3452 (2014; Zbl 1295.13021) Full Text: DOI arXiv
Maleki, Rasoul Ahangari; Jahangiri, Maryam WITHDRAWN: On the rate of graded modules. arXiv:1410.8325 Preprint, arXiv:1410.8325 [math.AC] (2014); retraction notice ibid. MSC: 13D02 13D07 16W50 16W70 16S37 BibTeX Cite \textit{R. A. Maleki} and \textit{M. Jahangiri}, ``WITHDRAWN: On the rate of graded modules'', Preprint, arXiv:1410.8325 [math.AC] (2014); retraction notice ibid. Full Text: arXiv OA License
Conner, Andrew; Shelton, Brad \(\mathcal K_2\) factors of Koszul algebras and applications to face rings. (English) Zbl 1290.16012 J. Algebra 368, 251-270 (2012). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16E65 16E05 13F55 16S37 16W50 16E30 PDFBibTeX XMLCite \textit{A. Conner} and \textit{B. Shelton}, J. Algebra 368, 251--270 (2012; Zbl 1290.16012) Full Text: DOI arXiv
Yanagawa, Kohji Linearity defect and regularity over a Koszul algebra. (English) Zbl 1200.16040 Math. Scand. 104, No. 2, 205-220 (2009). MSC: 16S37 13D02 13D03 13D07 16E05 16W50 PDFBibTeX XMLCite \textit{K. Yanagawa}, Math. Scand. 104, No. 2, 205--220 (2009; Zbl 1200.16040) Full Text: DOI arXiv
Conca, Aldo Koszul algebras. (Italian. English summary) Zbl 1181.13012 Boll. Unione Mat. Ital. (9) 1, No. 2, 429-437 (2008). MSC: 13D02 13A02 16S37 PDFBibTeX XMLCite \textit{A. Conca}, Boll. Unione Mat. Ital. (9) 1, No. 2, 429--437 (2008; Zbl 1181.13012)
Yanagawa, Kohji Castelnuovo-Mumford regularity for complexes and weakly Koszul modules. (English) Zbl 1163.16006 J. Pure Appl. Algebra 207, No. 1, 77-97 (2006). MSC: 16E05 16E30 16S37 13D45 16W50 16G20 13D25 PDFBibTeX XMLCite \textit{K. Yanagawa}, J. Pure Appl. Algebra 207, No. 1, 77--97 (2006; Zbl 1163.16006) Full Text: DOI arXiv
Levandovskyy, Viktor PBW bases, non-degeneracy conditions and applications. (English) Zbl 1094.16030 Buchweitz, Ragnar-Olaf (ed.) et al., Representations of algebras and related topics. Proceedings from the 10th international conference, ICRA X, Toronto, Canada, July 15–August 10, 2002. Dedicated to V. Dlab on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3415-0/hbk). Fields Institute Communications 45, 229-246 (2005). Reviewer: F. J. Lobillo (Granada) MSC: 16Z05 68W30 16S37 16S15 16W70 13P10 16W35 PDFBibTeX XMLCite \textit{V. Levandovskyy}, Fields Inst. Commun. 45, 229--246 (2005; Zbl 1094.16030)
Cohn, P. M. Basic algebra. Groups, rings and fields. (English) Zbl 1003.00001 London: Springer. xii, 465 p. i EUR 64.95/net; sFr. 108.00; £45.00; $ 74.95 (2003). Reviewer: Werner Kleinert (Berlin) MSC: 00A05 16-01 13-01 11Exx 12-01 20-01 PDFBibTeX XMLCite \textit{P. M. Cohn}, Basic algebra. Groups, rings and fields. London: Springer (2003; Zbl 1003.00001)
Piontkovskij, D. I. On the Hilbert series of Koszul algebras. (English. Russian original) Zbl 1010.16026 Funct. Anal. Appl. 35, No. 2, 133-137 (2001); translation from Funkts. Anal. Prilozh. 35, No. 2, 64-69 (2001). MSC: 16S37 16E30 16W50 13D40 PDFBibTeX XMLCite \textit{D. I. Piontkovskij}, Funct. Anal. Appl. 35, No. 2, 133--137 (2001; Zbl 1010.16026); translation from Funkts. Anal. Prilozh. 35, No. 2, 64--69 (2001) Full Text: DOI
Jiménez, M. J.; Real, P. “Coalgebra” structures on 1-homological models for commutative differential graded algebras. (English) Zbl 1005.18011 Ganzha, Victor G. (ed.) et al., Computer algebra in scientific computing, CASC 2001. Proceedings of the 4th international workshop, Konstanz, Germany, September 22-26, 2001. Berlin: Springer. 347-361 (2001). Reviewer: Reinhard Laubenbacher (Las Cruces) MSC: 18G60 16E45 55U15 13D03 PDFBibTeX XMLCite \textit{M. J. Jiménez} and \textit{P. Real}, in: Computer algebra in scientific computing, CASC 2001. Proceedings of the 4th international workshop, Konstanz, Germany, September 22--26, 2001. Berlin: Springer. 347--361 (2001; Zbl 1005.18011)
Herzog, Jürgen; Hibi, Takayuki; Restuccia, Gaetana Strongly Koszul algebras. (English) Zbl 1061.13008 Math. Scand. 86, No. 2, 161-178 (2000). MSC: 13D02 16S37 13A02 16S36 PDFBibTeX XMLCite \textit{J. Herzog} et al., Math. Scand. 86, No. 2, 161--178 (2000; Zbl 1061.13008) Full Text: DOI
Kussin, Dirk Factorial algebras, quaternions and preprojective algebras. (English) Zbl 0983.16011 Reiten, Idun (ed.) et al., Algebras and modules II. Eighth international conference on representations of algebras, Geiranger, Norway, August 4-10, 1996. Providence, RI: American Mathematical Society. CMS Conf. Proc. 24, 393-402 (1998). MSC: 16G20 14H60 13F15 16G70 16W50 PDFBibTeX XMLCite \textit{D. Kussin}, CMS Conf. Proc. 24, 393--402 (1998; Zbl 0983.16011)
Positselskii, L. E. Relation between the Hilbert series of quadratic dual algebras does not imply the Koszul property. (English. Russian original) Zbl 0851.16006 Funct. Anal. Appl. 29, No. 3, 213-217 (1995); translation from Funkts. Anal. Prilozh. 29, No. 3, 83-87 (1995). Reviewer: V.A.Ufnarovski (Lund) MSC: 16E40 18G15 16W50 16W60 17A45 13D40 PDFBibTeX XMLCite \textit{L. E. Positselskii}, Funct. Anal. Appl. 29, No. 3, 213--217 (1995; Zbl 0851.16006); translation from Funkts. Anal. Prilozh. 29, No. 3, 83--87 (1995) Full Text: DOI
Balavoine, David Square zero elements in graded Lie algebras. (Éléments de carré nul dans les algèbres de Lie graduées.) (French. Abridged English version) Zbl 0855.17020 C. R. Acad. Sci., Paris, Sér. I 321, No. 6, 689-694 (1995). MSC: 17B56 17B70 18D10 13D03 PDFBibTeX XMLCite \textit{D. Balavoine}, C. R. Acad. Sci., Paris, Sér. I 321, No. 6, 689--694 (1995; Zbl 0855.17020)
Raghavan, K.; Simis, A. Multiplicities of blowups of homogeneous quadratic sequences. (English) Zbl 0830.13003 J. Algebra 175, No. 2, 537-567 (1995). Reviewer: M.Roitman (Haifa) MSC: 13A30 13H15 13F50 PDFBibTeX XMLCite \textit{K. Raghavan} and \textit{A. Simis}, J. Algebra 175, No. 2, 537--567 (1995; Zbl 0830.13003) Full Text: DOI
Arkhipov, S. M. Koszul duality for quadratic algebras over a complex. (English. Russian original) Zbl 0828.18004 Funct. Anal. Appl. 28, No. 3, 202-204 (1994); translation from Funkts. Anal. Prilozh. 28, No. 3, 66-69 (1994). Reviewer: M.Golasiński (Toruń) MSC: 18E30 16W50 16D90 13D25 PDFBibTeX XMLCite \textit{S. M. Arkhipov}, Funct. Anal. Appl. 28, No. 3, 1 (1994; Zbl 0828.18004); translation from Funkts. Anal. Prilozh. 28, No. 3, 66--69 (1994)
Raghavan, K. N. Powers of ideals generated by quadratic sequences. (English) Zbl 0819.13004 Trans. Am. Math. Soc. 343, No. 2, 727-747 (1994). Reviewer: W.Bruns (Vechta) MSC: 13C15 13F50 13C40 13A30 PDFBibTeX XMLCite \textit{K. N. Raghavan}, Trans. Am. Math. Soc. 343, No. 2, 727--747 (1994; Zbl 0819.13004) Full Text: DOI
Le Bruyn, L.; Van Oystaeyen, Fred Quantum sections and gauge algebras. (English) Zbl 0826.16040 Publ. Mat., Barc. 36, No. 2A, 693-714 (1992). Reviewer: N.Andruskiewitsch (Córdoba) MSC: 16W50 13E05 13A30 17A80 16W60 17B37 16U20 16S60 16W30 PDFBibTeX XMLCite \textit{L. Le Bruyn} and \textit{F. Van Oystaeyen}, Publ. Mat., Barc. 36, No. 2A, 693--714 (1992; Zbl 0826.16040) Full Text: DOI EuDML
Scheja, Günter; Storch, Uwe Lehrbuch der Algebra. Unter Einschluß der linearen Algebra. Teil 2. (German) Zbl 0638.00001 Mathematische Leitfäden. Stuttgart: B. G. Teubner. 816 S.; DM 68.00 (1988). Reviewer: B.M.Schein MSC: 00-01 15-01 13-01 12-01 15A69 15A63 PDFBibTeX XMLCite \textit{G. Scheja} and \textit{U. Storch}, Lehrbuch der Algebra. Unter Einschluß der linearen Algebra. Teil 2. Stuttgart: B.G. Teubner (1988; Zbl 0638.00001)