Buchweitz, Ragnar-Olaf [Avramov, Luchezar L.; Briggs, Benjamin; Iyengar, Srikanth B.; Letz, Janina C.] Maximal Cohen-Macaulay modules and Tate cohomology. With appendices by Luchezar L. Avramov, Benjamin Briggs, Srikanth B. Iyengar and Janina C. Letz. (English) Zbl 1505.13002 Mathematical Surveys and Monographs 262. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5340-4/pbk; 978-1-4704-6792-0/ebook). xii, 175 p. (2021). Reviewer: Peter Schenzel (Halle) MSC: 13-02 13C14 13Dxx 13H10 16Exx 18G65 PDFBibTeX XMLCite \textit{R.-O. Buchweitz}, Maximal Cohen-Macaulay modules and Tate cohomology. With appendices by Luchezar L. Avramov, Benjamin Briggs, Srikanth B. Iyengar and Janina C. Letz. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1505.13002) Full Text: DOI Backlinks: MO
Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Sean Homology over trivial extensions of commutative DG algebras. (English) Zbl 1452.13019 Commun. Algebra 47, No. 6, 2341-2356 (2019). Reviewer: Qiao Lei (Chengdu) MSC: 13D07 16E45 13D02 13D40 PDFBibTeX XMLCite \textit{L. L. Avramov} et al., Commun. Algebra 47, No. 6, 2341--2356 (2019; Zbl 1452.13019) Full Text: DOI arXiv
Avramov, Luchezar L. (ed.); Buchweitz, Ragnar-Olaf (ed.); Lowen, Wendy (ed.) Hochschild cohomology in algebra, geometry, and topology. Abstracts from the workshop held February 14–20, 2016. (English) Zbl 1380.00025 Oberwolfach Rep. 13, No. 1, 449-506 (2016). MSC: 00B05 00B25 16-06 13D03 16E40 13-06 55-06 14F43 83E30 PDFBibTeX XMLCite \textit{L. L. Avramov} (ed.) et al., Oberwolfach Rep. 13, No. 1, 449--506 (2016; Zbl 1380.00025) Full Text: DOI
Avramov, Luchezar L. A cohomological study of local rings of embedding codepth 3. (English) Zbl 1259.13010 J. Pure Appl. Algebra 216, No. 11, 2489-2506 (2012). Reviewer: Javier Majadas (Santiago de Compostela) MSC: 13D07 13D40 PDFBibTeX XMLCite \textit{L. L. Avramov}, J. Pure Appl. Algebra 216, No. 11, 2489--2506 (2012; Zbl 1259.13010) Full Text: DOI arXiv
Avramov, Luchezar L. (ed.); Green, Mark (ed.); Huneke, Craig (ed.); Smith, Karen E. (ed.); Sturmfels, Bernd (ed.) Trends in commutative algebra. Based on lectures presented at the MSRI introductory workshop on commutative algebra held at the Mathematical Sciences Research Institute, Berkeley, CA, USA, September 9–13, 2002. Reprint of the 2004 hardback ed. (English) Zbl 1207.13001 Mathematical Sciences Research Institute Publications 51. Cambridge: Cambridge University Press (ISBN 978-0-521-16872-4/pbk; 978-0-511-15945-9/ebook). x, 254 p. (2011). MSC: 13-06 00B25 PDFBibTeX XMLCite \textit{L. L. Avramov} (ed.) et al., Trends in commutative algebra. Based on lectures presented at the MSRI introductory workshop on commutative algebra held at the Mathematical Sciences Research Institute, Berkeley, CA, USA, September 9--13, 2002. Reprint of the 2004 hardback ed. Cambridge: Cambridge University Press (2011; Zbl 1207.13001) Full Text: Link
Avramov, Luchezar L.; Iyengar, Srikanth B. Cohomology over complete intersections via exterior algebras. (English) Zbl 1211.13006 Holm, Thorsten (ed.) et al., Triangulated categories. Based on a workshop, Leeds, UK, August 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-74431-7/pbk). London Mathematical Society Lecture Note Series 375, 52-75 (2010). Reviewer: Marek Golasiński (Toruń) MSC: 13A50 15A72 17C99 PDFBibTeX XMLCite \textit{L. L. Avramov} and \textit{S. B. Iyengar}, Lond. Math. Soc. Lect. Note Ser. 375, 52--75 (2010; Zbl 1211.13006) Full Text: arXiv
Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia Homology of perfect complexes. (English) Zbl 1186.13006 Adv. Math. 223, No. 5, 1731-1781 (2010); corrigendum ibid. 225, No. 6, 3576-3578 (2010). Reviewer: Iustin Coandă (Bucureşti) MSC: 13D02 16E45 13D09 13D22 13H10 PDFBibTeX XMLCite \textit{L. L. Avramov} et al., Adv. Math. 223, No. 5, 1731--1781 (2010; Zbl 1186.13006) Full Text: DOI arXiv
Avramov, Luchezar L.; Hochster, Melvin Special issue celebrating the 60th birthday of Paul Roberts. (English) Zbl 1178.01035 J. Algebra 322, No. 9, 2913-2914 (2009). MSC: 01A70 13-06 PDFBibTeX XMLCite \textit{L. L. Avramov} and \textit{M. Hochster}, J. Algebra 322, No. 9, 2913--2914 (2009; Zbl 1178.01035) Full Text: DOI
Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth Class rank of differential modules. (English) Zbl 1153.13010 Invent. Math. 169, No. 1, 1-35 (2007). Reviewer: Gábor Braun (Budapest) MSC: 13C15 13D05 PDFBibTeX XMLCite \textit{L. L. Avramov} et al., Invent. Math. 169, No. 1, 1--35 (2007; Zbl 1153.13010) Full Text: DOI arXiv
Avramov, Luchezar L. (ed.); Christensen, J. Daniel (ed.); Dwyer, William G. (ed.); Mandell, Michael A. (ed.); Shipley, Brooke E. (ed.) Interactions between homotopy theory and algebra. Summer school, University of Chicago, IL, USA, July 26–August 6, 2004. (English) Zbl 1118.55001 Contemporary Mathematics 436. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3814-3/pbk). xiv, 334 p. (2007). MSC: 55-06 18-06 13-06 14-06 00B25 PDFBibTeX XMLCite \textit{L. L. Avramov} (ed.) et al., Interactions between homotopy theory and algebra. Summer school, University of Chicago, IL, USA, July 26--August 6, 2004. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1118.55001) Full Text: DOI
Avramov, Luchezar L. (ed.); Green, Mark (ed.); Huneke, Craig (ed.); Smith, Karen E. (ed.); Sturmfels, Bernd (ed.) Trends in commutative algebra. Based on lectures presented at the MSRI introductory workshop on commutative algebra held at the Mathematical Sciences Research Institute, Berkeley, CA, USA, September 9–13, 2002. (English) Zbl 1056.13001 Mathematical Sciences Research Institute Publications 51. Cambridge: Cambridge University Press (ISBN 0-521-83195-4/hbk; 0-511-15945-5/e-book). x, 254 p. (2004). MSC: 13-06 00B25 PDFBibTeX XMLCite \textit{L. L. Avramov} (ed.) et al., Trends in commutative algebra. Based on lectures presented at the MSRI introductory workshop on commutative algebra held at the Mathematical Sciences Research Institute, Berkeley, CA, USA, September 9--13, 2002. Cambridge: Cambridge University Press (2004; Zbl 1056.13001) Full Text: Link
Avramov, Luchezar L. (ed.); Chardin, Marc (ed.); Morales, Marcel (ed.); Polini, Claudia (ed.) Commutative algebra. Interactions with algebraic geometry. Proceedings of the international conference, Grenoble, France, July 9–13, 2001 and the special session at the joint international meeting of the American Mathematical Society and the Société Mathématique de France, Lyon, France, July 17–20, 2001. (English) Zbl 1020.00012 Contemporary Mathematics. 331. Providence, RI: American Mathematical Society (AMS). xiv, 358 p. (2003). MSC: 00B25 13-06 14-06 PDFBibTeX XMLCite \textit{L. L. Avramov} (ed.) et al., Commutative algebra. Interactions with algebraic geometry. Proceedings of the international conference, Grenoble, France, July 9--13, 2001 and the special session at the joint international meeting of the American Mathematical Society and the Société Mathématique de France, Lyon, France, July 17--20, 2001. Providence, RI: American Mathematical Society (AMS) (2003; Zbl 1020.00012) Full Text: DOI
Avramov, Luchezar L.; Martsinkovsky, Alex Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension. (English) Zbl 1047.16002 Proc. Lond. Math. Soc., III. Ser. 85, No. 2, 393-440 (2002). Reviewer: Marek Golasiński (Toruń) MSC: 16E05 13H10 18G25 13D05 16E65 PDFBibTeX XMLCite \textit{L. L. Avramov} and \textit{A. Martsinkovsky}, Proc. Lond. Math. Soc. (3) 85, No. 2, 393--440 (2002; Zbl 1047.16002) Full Text: DOI
Avramov, Luchezar L. The work of Jan-Erik Roos on the cohomology of commutative rings. (English) Zbl 1003.01010 Homology Homotopy Appl. 4, No. 2(1), 1-16 (2002). Reviewer: Roman Duda (Wrocław) MSC: 01A60 01A70 13-03 13D03 PDFBibTeX XMLCite \textit{L. L. Avramov}, Homology Homotopy Appl. 4, No. 2(1), 1--16 (2002; Zbl 1003.01010) Full Text: DOI EuDML EMIS
Avramov, Luchezar L.; Grayson, Daniel R. Resolutions and cohomology over complete intersections. (English) Zbl 0994.13006 Eisenbud, David (ed.) et al., Computations in algebraic geometry with Macaulay 2. Berlin: Springer. Algorithms Comput. Math. 8, 131-178 (2002). Reviewer: Peter Schenzel (Halle) MSC: 13D07 13-04 13P99 PDFBibTeX XMLCite \textit{L. L. Avramov} and \textit{D. R. Grayson}, Algorithms Comput. Math. 8, 131--178 (2002; Zbl 0994.13006)
Avramov, Luchezar L.; Iyengar, Srikanth Finite generation of Hochschild homology algebras. (English) Zbl 0966.13009 Invent. Math. 140, No. 1, 143-170 (2000). Reviewer: V.A.Hiremath (Dharwad) MSC: 13D03 13N05 13C40 18G15 PDFBibTeX XMLCite \textit{L. L. Avramov} and \textit{S. Iyengar}, Invent. Math. 140, No. 1, 143--170 (2000; Zbl 0966.13009) Full Text: DOI
Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen Resolutions of monomial ideals and cohomology over exterior algebras. (English) Zbl 0930.13011 Trans. Am. Math. Soc. 352, No. 2, 579-594 (2000). MSC: 13D02 15A75 13D40 52B20 PDFBibTeX XMLCite \textit{A. Aramova} et al., Trans. Am. Math. Soc. 352, No. 2, 579--594 (2000; Zbl 0930.13011) Full Text: DOI
Avramov, Luchezar L. Modules with extremal resolutions. (English) Zbl 0867.13003 Math. Res. Lett. 3, No. 3, 319-328 (1996). Reviewer: R.Fröberg (Stockholm) MSC: 13D03 13D05 13H05 13H10 PDFBibTeX XMLCite \textit{L. L. Avramov}, Math. Res. Lett. 3, No. 3, 319--328 (1996; Zbl 0867.13003) Full Text: DOI
Avramov, Luchezar L. Local rings over which all modules have rational Poincaré series. (English) Zbl 0794.13010 J. Pure Appl. Algebra 91, No. 1-3, 29-48 (1994). Reviewer: N.Radu (Bucureşti) MSC: 13D40 13D03 13C40 13H99 PDFBibTeX XMLCite \textit{L. L. Avramov}, J. Pure Appl. Algebra 91, No. 1--3, 29--48 (1994; Zbl 0794.13010) Full Text: DOI
Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf Lower bounds of Betti numbers. (English) Zbl 0786.13004 Compos. Math. 86, No. 2, 147-158 (1993). Reviewer: S.Balcerzyk (Toruń) MSC: 13D03 13D40 PDFBibTeX XMLCite \textit{L. L. Avramov} and \textit{R.-O. Buchweitz}, Compos. Math. 86, No. 2, 147--158 (1993; Zbl 0786.13004) Full Text: Numdam EuDML
Avramov, Luchezar L.; Foxby, Hans-Bjørn Locally Gorenstein homomorphisms. (English) Zbl 0769.13007 Am. J. Math. 114, No. 5, 1007-1047 (1992). Reviewer: Y.Aoyama (Matsue / Shimane) MSC: 13D03 13H10 13D25 PDFBibTeX XMLCite \textit{L. L. Avramov} and \textit{H.-B. Foxby}, Am. J. Math. 114, No. 5, 1007--1047 (1992; Zbl 0769.13007) Full Text: DOI
Avramov, Luchezar L.; Eisenbud, David Regularity of modules over a Koszul algebra. (English) Zbl 0770.13006 J. Algebra 153, No. 1, 85-90 (1992). Reviewer: T.Porter (Bangor) MSC: 13D03 18G15 13A02 PDFBibTeX XMLCite \textit{L. L. Avramov} and \textit{D. Eisenbud}, J. Algebra 153, No. 1, 85--90 (1992; Zbl 0770.13006) Full Text: DOI
Avramov, L. L. Modules of finite virtual projective dimension. (English) Zbl 0677.13004 Invent. Math. 96, No. 1, 71-101 (1989). Reviewer: M.Miller MSC: 13D05 13C15 13D10 17B55 20C05 PDFBibTeX XMLCite \textit{L. L. Avramov}, Invent. Math. 96, No. 1, 71--101 (1989; Zbl 0677.13004) Full Text: DOI EuDML
Avramov, Luchezar L. Golod homomorphisms. (English) Zbl 0589.13004 Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 59-78 (1986). Reviewer: W.Tong MSC: 13D03 13N05 55P62 PDFBibTeX XML
Avramov, Luchezar; Halperin, Stephen Through the looking glass: A dictionary between rational homotopy theory and local algebra. (English) Zbl 0588.13010 Algebra, algebraic topology and their interactions, Proc. Conf., Stockholm 1983, Lect. Notes Math. 1183, 1-27 (1986). Reviewer: R.Fröberg MSC: 13D03 13H99 13-02 55-02 55P62 PDFBibTeX XML
Avramov, Luchezar L.; Halperin, Stephen On the structure of the homotopy Lie algebra of a local ring. (English) Zbl 0557.13009 Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113/114, 153-155 (1984). MSC: 13D03 13H99 14M10 13E05 PDFBibTeX XML
Avramov, Luchezar L. Local algebra and rational homotopy. (English) Zbl 0552.13003 Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113-114, 15-43 (1984). Reviewer: Luchezar L. Avramov MSC: 13D03 17B70 55P62 16W50 17B55 16W10 13N05 13H10 PDFBibTeX XML
Avramov, Luchezar L. Local algebra and rational homotopy. (English) Zbl 0552.13004 Rep., Dep. Math., Univ. Stockh. 3, 1-31 (1983). Reviewer: Luchezar L. Avramov MSC: 13D03 55P62 17B70 55P35 17B55 16W10 PDFBibTeX XML
Avramov, Luchezar L. Free Lie subalgebras of the cohomology of local rings. (English) Zbl 0516.13022 Trans. Am. Math. Soc. 270, 589-608 (1982). MSC: 13H15 13H10 13D99 16W30 13C10 18G99 PDFBibTeX XMLCite \textit{L. L. Avramov}, Trans. Am. Math. Soc. 270, 589--608 (1982; Zbl 0516.13022) Full Text: DOI
Achilles, Ruediger; Avramov, Luchezar L. Relations between properties of a ring and of its associated graded ring. (English) Zbl 0509.13027 Seminar D. Eisenbud/ B. Singh/ W. Vogel, Vol. 2, Teubner-Texte Math. 48, 5-29 (1982). MSC: 13H10 13D03 16W50 13E05 13A15 PDFBibTeX XML
Aramova, Annetta G.; Avramov, Luchezar L. When do the symmetric tensors of a commutative algebra form a Frobenius algebra? (English) Zbl 0497.16005 Proc. Am. Math. Soc. 85, 299-304 (1982). MSC: 16L60 16W20 13B02 PDFBibTeX XMLCite \textit{A. G. Aramova} and \textit{L. L. Avramov}, Proc. Am. Math. Soc. 85, 299--304 (1982; Zbl 0497.16005) Full Text: DOI
Avramov, Luchezar L. Symmetric algebras of modules of projective dimension one. (English) Zbl 0516.13002 Algebraic geometry, Proc., Bucharest 1980, 5-11 (1981). MSC: 13A15 14M10 13D05 14M12 13C13 13F20 PDFBibTeX XML
Avramov, Luchezar L. Complete intersections and symmetric algebras. (English) Zbl 0516.13001 J. Algebra 73, 248-263 (1981). MSC: 13A15 14M12 13G05 14M10 13F20 PDFBibTeX XMLCite \textit{L. L. Avramov}, J. Algebra 73, 248--263 (1981; Zbl 0516.13001) Full Text: DOI
Avramov, Luchezar Sur la croissance des nombres de Betti d’un anneau local. (French) Zbl 0425.13009 C. R. Acad. Sci., Paris, Sér. A 289, 369-372 (1979). MSC: 13H15 13D03 55S30 13E05 PDFBibTeX XMLCite \textit{L. Avramov}, C. R. Acad. Sci., Paris, Sér. A 289, 369--372 (1979; Zbl 0425.13009)
Levin, Gerson L.; Avramov, Luchezar L. Factoring out the socle of a Gorenstein ring. (English) Zbl 0439.13015 Mat. Inst., Stockh. Univ. 14, 16 P. (1977). MSC: 13H10 13D25 13D03 13H15 PDFBibTeX XML