Edit Profile (opens in new tab) Avramov, Luchezar L. Co-Author Distance Author ID: avramov.luchezar-l Published as: Avramov, Luchezar L.; Avramov, L. L.; Avramov, Luchezar; Avramov, Luchézar L.; Avramov, Lacezar more...less External Links: MGP · Wikidata · IdRef Documents Indexed: 113 Publications since 1971 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 40 Reviews Co-Authors: 53 Co-Authors with 78 Joint Publications 1,167 Co-Co-Authors all top 5 Co-Authors 42 single-authored 25 Iyengar, Srikanth B. 10 Buchweitz, Ragnar-Olaf 10 Foxby, Hans-Bjørn 4 Halperin, Stephen 4 Miller, Claudia M. 4 Şega, Liana M. 3 Aramova, Annetta G. 3 Herzog, Jürgen 3 Lescot, Jack 3 Lipman, Joseph 3 Peeva, Irena V. 2 Conca, Aldo 2 Gasharov, Vesselin N. 2 Golod, Evgeniĭ Solomonovich 2 Green, Mark Lee 2 Hochster, Melvin 2 Huneke, Craig L. 2 Levin, Gerson L. 2 Nasseh, Saeed 2 Sather-Wagstaff, Keri 2 Smith, Karen E. 2 Sturmfels, Bernd 1 Achilles, Rüdiger 1 Ananthnarayan, Hariharan 1 Bonacho Dos Anjos Henriques, Inês 1 Borek, Adam 1 Briggs, Benjamin 1 Chardin, Marc 1 Christensen, J. Daniel 1 Dwyer, William G. 1 Eisenbud, David 1 Félix, Yves 1 Grayson, Daniel Richard 1 Herzog, Bernd 1 Kustin, Andrew R. 1 Letz, Janina C. 1 Lowen, Wendy 1 Mandell, Michael A. 1 Martsinkovsky, Alex 1 Miller, Matthew P. 1 Moore, W. Frank 1 Morales, Marcel 1 Nayak, Suresh 1 Neeman, Amnon 1 Polini, Claudia 1 Sally, Judith D. 1 Shipley, Brooke E. 1 Strogalov, S. S. 1 Sun, Li-Chuan 1 Tchakerian, Kerope B. 1 Todorov, Andrey N. 1 Veliche, Oana 1 Vigué-Poirrier, Micheline 1 Yang, Zheng 1 Yao, Yongwei all top 5 Serials 10 Journal of Algebra 6 Journal of Pure and Applied Algebra 5 Advances in Mathematics 5 Inventiones Mathematicae 5 Mathematische Annalen 4 American Journal of Mathematics 4 Mathematical Research Letters 3 Transactions of the American Mathematical Society 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Journal für die Reine und Angewandte Mathematik 2 Mathematics of the USSR. Izvestiya 2 Proceedings of the London Mathematical Society. Third Series 2 Bulletin of the American Mathematical Society. New Series 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Homology, Homotopy and Applications 2 Contemporary Mathematics 2 Mathematical Sciences Research Institute Publications 2 Algebra & Number Theory 2 Journal of Commutative Algebra 1 Communications in Algebra 1 Mathematical Notes 1 Matematicheskie Zametki 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Soviet Mathematics. Doklady 1 Topology 1 PLISKA. Studia Mathematica Bulgarica 1 IMRN. International Mathematics Research Notices 1 Serdica 1 Journal of Algebraic Geometry 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Oberwolfach Reports 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Pure and Applied Mathematics Quarterly 1 Lecture Notes in Mathematics 1 Mathematical Surveys and Monographs all top 5 Fields 114 Commutative algebra (13-XX) 26 Algebraic geometry (14-XX) 24 Associative rings and algebras (16-XX) 21 Algebraic topology (55-XX) 14 Category theory; homological algebra (18-XX) 6 General and overarching topics; collections (00-XX) 6 Group theory and generalizations (20-XX) 4 Nonassociative rings and algebras (17-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 2,280 times in 1,247 Documents Cited by ▼ Year ▼ Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension. Zbl 1047.16002Avramov, Luchezar L.; Martsinkovsky, Alex 201 2002 Homological dimensions of unbounded complexes. Zbl 0737.16002Avramov, Luchezar L.; Foxby, Hans-Bjørn 176 1991 Infinite free resolutions. Zbl 0934.13008Avramov, Luchezar L. 150 1998 Complete intersection dimension. Zbl 0918.13008Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 115 1997 Support varieties and cohomology over complete intersections. Zbl 0999.13008Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 107 2000 Ring homomorphisms and finite Gorenstein dimension. Zbl 0901.13011Avramov, Luchezar L.; Foxby, Hans-Bjørn 82 1997 Modules of finite virtual projective dimension. Zbl 0677.13004Avramov, L. L. 81 1989 Poincaré series of modules over local rings of small embedding codepth or small linking number. Zbl 0648.13008Avramov, Luchezar L.; Kustin, Andrew R.; Miller, Matthew 58 1988 The Koszul algebra of a codimension 2 embedding. Zbl 0461.14014Avramov, Lacezar; Herzog, Jürgen 47 1980 Structure of local homomorphisms. Zbl 0798.13002Avramov, Luchezar L.; Foxby, Hans-Bjørn; Herzog, Bernd 44 1994 Complete intersections and symmetric algebras. Zbl 0516.13001Avramov, Luchezar L. 44 1981 Resolutions of monomial ideals and cohomology over exterior algebras. Zbl 0930.13011Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen 44 2000 Small homomorphisms of local rings. Zbl 0395.13005Avramov, Luchezar L. 41 1978 Homology of perfect complexes. Zbl 1186.13006Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 40 2010 Locally Gorenstein homomorphisms. Zbl 0769.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn 38 1992 Homological asymptotics of modules over local rings. Zbl 0788.18010Avramov, Luchezar L. 34 1989 Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010Avramov, Luchezar; Halperin, Stephen 33 1986 Obstructions to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13006Avramov, Luchezar L. 31 1981 Regularity of modules over a Koszul algebra. Zbl 0770.13006Avramov, Luchezar L.; Eisenbud, David 30 1992 Local algebra and rational homotopy. Zbl 0552.13003Avramov, Luchezar L. 28 1984 Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa. Zbl 1087.13010Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Şega, Liana M. 28 2005 Subadditivity of syzygies of Koszul algebras. Zbl 1333.13021Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 26 2015 Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology. Zbl 0968.13007Avramov, Luchezar L. 25 1999 Homology over local homomorphisms. Zbl 1102.13011Avramov, Luchezar L.; Iyengar, Srikanth; Miller, Claudia 25 2006 Reflexivity and rigidity for complexes, I: Commutative rings. Zbl 1194.13017Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph 24 2010 Free resolutions over short local rings. Zbl 1153.13011Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 24 2008 Finite regularity and Koszul algebras. Zbl 1053.13500Avramov, Luchezar L.; Peeva, Irena 24 2001 Connected sums of Gorenstein local rings. Zbl 1271.13047Ananthnarayan, H.; Avramov, Luchezar L.; Moore, W. Frank 24 2012 Constructing modules with prescribed cohomological support. Zbl 1121.13014Avramov, Luchezar L.; Iyengar, Srikanth B. 23 2007 Factoring out the socle of a Gorenstein ring. Zbl 0407.13018Levin, Gerson L.; Avramov, Luchezar L. 23 1978 Free resolutions over commutative Koszul algebras. Zbl 1231.13012Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 23 2010 Cohomology operators defined by a deformation. Zbl 0915.13009Avramov, Luchezar L.; Sun, Li-Chuan 22 1998 Homological algebra modulo a regular sequence with special attention to codimension two. Zbl 1011.13007Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 22 2000 Hochschild homology criteria for smoothness. Zbl 0755.13006Avramov, Luchezar L.; Vigué-Poirrier, Micheline 21 1992 A cohomological study of local rings of embedding codepth 3. Zbl 1259.13010Avramov, Luchezar L. 21 2012 Homology over trivial extensions of commutative DG algebras. Zbl 1452.13019Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Sean 20 2019 Stable cohomology over local rings. Zbl 1127.13012Avramov, Luchezar L.; Veliche, Oana 20 2007 Flat morphisms of complete intersections. Zbl 0334.13009Avramov, L. L. 19 1975 Homology of local flat extensions and complete intersection defects. Zbl 0333.13011Avramov, Luchezar L. 18 1977 Class rank of differential modules. Zbl 1153.13010Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth 17 2007 Homology algebra of the Koszul complex of a local Gorenstein ring. Zbl 0222.13014Avramov, L. L.; Golod, E. S. 16 1971 Cohen-Macaulay properties of ring homomorphisms. Zbl 0935.13008Avramov, Luchezar L.; Foxby, Hans-Bjørn 16 1998 Reduction of derived Hochschild functors over commutative algebras and schemes. Zbl 1183.13021Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph; Nayak, Suresh 16 2010 Quasi-complete intersection homomorphisms. Zbl 1310.13020Avramov, Luchezar L.; Bonacho Dos Anjos Henriques, Inês; Şega, Liana M. 16 2013 Local rings over which all modules have rational Poincaré series. Zbl 0794.13010Avramov, Luchezar L. 14 1994 Lower bounds of Betti numbers. Zbl 0786.13004Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 14 1993 Maximal Cohen-Macaulay modules and Tate cohomology. With appendices by Luchezar L. Avramov, Benjamin Briggs, Srikanth B. Iyengar and Janina C. Letz. Zbl 1505.13002Buchweitz, Ragnar-Olaf 14 2021 Golod homomorphisms. Zbl 0589.13004Avramov, Luchezar L. 14 1986 Modules with extremal resolutions. Zbl 0867.13003Avramov, Luchezar L. 14 1996 Bass series of local ring homomorphisms of finite flat dimension. Zbl 0770.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Lescot, Jack 13 1993 Über die Homologiealgebra des Koszulschen Komplexes eines lokalen Gorenstein-Ringes. Zbl 0213.04904Avramov, L. L.; Golod, E. S. 13 1971 A class of factorial domains. Zbl 0443.13009Avramov, Luchezar L. 11 1979 Über die Hopfsche Algebra eines lokalen Ringes. Zbl 0295.13005Avramov, L. L. 11 1974 Homological dimensions and related invariants of modules over local rings. Zbl 1086.16504Avramov, Luchezar L. 11 2002 Jacobian criteria for complete intersections. The graded case. Zbl 0813.13024Avramov, Luchezar L.; Herzog, Jürgen 10 1994 Homological invariants of modules over contracting endomorphisms. Zbl 1241.13013Avramov, Luchezar L.; Hochster, Melvin; Iyengar, Srikanth B.; Yao, Yongwei 10 2012 Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen 10 1985 Gaps in Hochschild cohomology imply smoothness for commutative algebras. Zbl 1101.13018Avramov, Luchezar L.; Iyengar, Srikanth 9 2005 Reflexivity and rigidity for complexes. II: Schemes. Zbl 1246.14005Avramov, Luchezar; Iyengar, Srikanth B.; Lipman, Joseph 9 2011 Frobenius powers of complete intersections. Zbl 1034.13006Avramov, Luchezar L.; Miller, Claudia 9 2001 Free Lie subalgebras of the cohomology of local rings. Zbl 0516.13022Avramov, Luchezar L. 9 1982 On the Hopf algebra of a local ring. Zbl 0299.13011Avramov, L. L. 8 1975 Singularities of quotients by vector fields in characteristic \(p\). Zbl 0566.14001Aramova, Annetta G.; Avramov, Luchezar L. 8 1986 Gorenstein local homomorphisms. Zbl 0712.13006Avramov, Luchezar L.; Foxby, Hans-Bjørn 8 1990 Laurent coefficients and Ext of finite graded modules. Zbl 0869.13007Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Sally, Judith D. 8 1997 Cohomology over complete intersections via exterior algebras. Zbl 1211.13006Avramov, Luchezar L.; Iyengar, Srikanth B. 8 2010 Gorenstein algebras and Hochschild cohomology. Zbl 1245.13011Avramov, Luchezar L.; Iyengar, Srikanth B. 7 2008 Problems on infinite free resolutions. Zbl 0778.13010Avramov, Luchezar L. 6 1992 Grothendieck’s localization problem. Zbl 0804.13006Avramov, Luchezar L.; Foxby, Hans-Bjørn 6 1994 On the non-vanishing of cotangent cohomology. Zbl 0624.13013Avramov, Luchezar; Halperin, Stephen 6 1987 A periodic module of infinite virtual projective dimension. Zbl 0694.13007Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 6 1989 Descente des déviations par homomorphismes locaux et generation des ideaux de dimension projective finie. Zbl 0509.13008Avramov, Luchezar 6 1982 Poincaré series of almost complete intersections of embedding dimension three. Zbl 0516.13021Avramov, Luchezar L. 6 1981 Pseudo-reflection group actions on local rings. Zbl 0488.13008Avramov, Luchezar L. 6 1982 Resolutions and cohomology over complete intersections. Zbl 0994.13006Avramov, Luchezar L.; Grayson, Daniel R. 5 2002 André-Quillen homology of algebra retracts. Zbl 1079.13503Avramov, Luchezar L.; Iyengar, Srikanth 5 2003 Relations between properties of a ring and of its associated graded ring. Zbl 0509.13027Achilles, Ruediger; Avramov, Luchezar L. 5 1982 (Contravariant) Koszul duality for DG algebras. Zbl 1319.16013Avramov, Luchezar L. 4 2013 Homological criteria for regular homomorphisms and for locally complete intersection homomorphisms. Zbl 1044.13006Avramov, Luchezar L.; Iyengar, Srikanth 4 2002 Finite generation of Hochschild homology algebras. Zbl 0966.13009Avramov, Luchezar L.; Iyengar, Srikanth 4 2000 Torsion in loop space homology. Zbl 0594.55007Avramov, Luchezar L. 4 1986 Local rings of finite simplicial dimension. Zbl 0552.13005Avramov, Luchezar L. 3 1984 Homotopy Lie algebras and Poincaré series of algebras with monomial relations. Zbl 1031.13006Avramov, Luchezar L. 3 2002 Espaces de Golod. (Golod spaces). Zbl 0725.55008Avramov, L. L.; Félix, Y. 3 1990 Séries de Bass des homomorphismes locaux de Tor-dimension finie. (Bass series of local ring homomorphisms of finite flat dimension). Zbl 0687.13009Avramov, Luchézar L.; Foxby, Hans-Bjørn; Lescot, Jack 3 1989 Bass numbers and Golod rings. Zbl 0509.13009Avramov, Luchezar L.; Lescot, Jack 3 1982 Locally complete intersection homomorphisms and vanishing of André- Quillen homology. Zbl 0820.13012Avramov, Luchezar L. 2 1994 On the homology of a tensor product of local rings. Zbl 0324.13016Avramov, L. L. 2 1976 Persistence of homology over commutative Noetherian rings. Zbl 1496.13024Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Keri 2 2022 On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009Avramov, Luchezar L.; Halperin, Stephen 2 1984 Symmetric algebras of modules of projective dimension one. Zbl 0516.13002Avramov, Luchezar L. 2 1981 Short Koszul modules. Zbl 1237.13025Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 2 2010 Corrigendum to “Homology of perfect complexes” [Adv. Math. 223 (5) (2010) 1731-1781]. Zbl 1200.13020Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 2 2010 Obstruction to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13005Avramov, Luchezar L. 1 1979 Über Gorensteinsche Moduln. Zbl 0239.13015Avramov, L. L.; Strogalov, S. S.; Todorov, A. N. 1 1972 Detecting flatness over smooth bases. Zbl 1267.13021Avramov, Luchezar L.; Iyengar, Srikanth B. 1 2013 Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems in local algebra. Zbl 1470.13032Avramov, Luchezar L.; Iyengar, Srikanth B.; Neeman, Amnon 1 2018 When do the symmetric tensors of a commutative algebra form a Frobenius algebra? Zbl 0497.16005Aramova, Annetta G.; Avramov, Luchezar L. 1 1982 Differential graded models for local rings. Zbl 0509.13010Avramov, Luchezar L. 1 1981 Invariants d’un groupe fini engendre par des pseudo-reflexions, operant sur un anneau local. Zbl 0516.13005Avramov, Luchezar L. 1 1982 Persistence of homology over commutative Noetherian rings. Zbl 1496.13024Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Keri 2 2022 Maximal Cohen-Macaulay modules and Tate cohomology. With appendices by Luchezar L. Avramov, Benjamin Briggs, Srikanth B. Iyengar and Janina C. Letz. Zbl 1505.13002Buchweitz, Ragnar-Olaf 14 2021 Homology over trivial extensions of commutative DG algebras. Zbl 1452.13019Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Sean 20 2019 Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems in local algebra. Zbl 1470.13032Avramov, Luchezar L.; Iyengar, Srikanth B.; Neeman, Amnon 1 2018 Betti sequences over standard graded commutative algebras with two relations. Zbl 1406.13010Avramov, Luchezar L.; Yang, Zheng 1 2017 Subadditivity of syzygies of Koszul algebras. Zbl 1333.13021Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 26 2015 Quasi-complete intersection homomorphisms. Zbl 1310.13020Avramov, Luchezar L.; Bonacho Dos Anjos Henriques, Inês; Şega, Liana M. 16 2013 (Contravariant) Koszul duality for DG algebras. Zbl 1319.16013Avramov, Luchezar L. 4 2013 Detecting flatness over smooth bases. Zbl 1267.13021Avramov, Luchezar L.; Iyengar, Srikanth B. 1 2013 Bass numbers over local rings via stable cohomology. Zbl 1267.13030Avramov, Luchezar L.; Iyengar, Srikanth B. 1 2013 Connected sums of Gorenstein local rings. Zbl 1271.13047Ananthnarayan, H.; Avramov, Luchezar L.; Moore, W. Frank 24 2012 A cohomological study of local rings of embedding codepth 3. Zbl 1259.13010Avramov, Luchezar L. 21 2012 Homological invariants of modules over contracting endomorphisms. Zbl 1241.13013Avramov, Luchezar L.; Hochster, Melvin; Iyengar, Srikanth B.; Yao, Yongwei 10 2012 Reflexivity and rigidity for complexes. II: Schemes. Zbl 1246.14005Avramov, Luchezar; Iyengar, Srikanth B.; Lipman, Joseph 9 2011 Homology of perfect complexes. Zbl 1186.13006Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 40 2010 Reflexivity and rigidity for complexes, I: Commutative rings. Zbl 1194.13017Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph 24 2010 Free resolutions over commutative Koszul algebras. Zbl 1231.13012Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 23 2010 Reduction of derived Hochschild functors over commutative algebras and schemes. Zbl 1183.13021Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph; Nayak, Suresh 16 2010 Cohomology over complete intersections via exterior algebras. Zbl 1211.13006Avramov, Luchezar L.; Iyengar, Srikanth B. 8 2010 Short Koszul modules. Zbl 1237.13025Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 2 2010 Corrigendum to “Homology of perfect complexes” [Adv. Math. 223 (5) (2010) 1731-1781]. Zbl 1200.13020Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 2 2010 Free resolutions over short local rings. Zbl 1153.13011Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 24 2008 Gorenstein algebras and Hochschild cohomology. Zbl 1245.13011Avramov, Luchezar L.; Iyengar, Srikanth B. 7 2008 Constructing modules with prescribed cohomological support. Zbl 1121.13014Avramov, Luchezar L.; Iyengar, Srikanth B. 23 2007 Stable cohomology over local rings. Zbl 1127.13012Avramov, Luchezar L.; Veliche, Oana 20 2007 Class rank of differential modules. Zbl 1153.13010Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth 17 2007 Homology over local homomorphisms. Zbl 1102.13011Avramov, Luchezar L.; Iyengar, Srikanth; Miller, Claudia 25 2006 Extensions of a dualizing complex by its ring: Commutative versions of a conjecture of Tachikawa. Zbl 1087.13010Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Şega, Liana M. 28 2005 Gaps in Hochschild cohomology imply smoothness for commutative algebras. Zbl 1101.13018Avramov, Luchezar L.; Iyengar, Srikanth 9 2005 André-Quillen homology of algebra retracts. Zbl 1079.13503Avramov, Luchezar L.; Iyengar, Srikanth 5 2003 Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension. Zbl 1047.16002Avramov, Luchezar L.; Martsinkovsky, Alex 201 2002 Homological dimensions and related invariants of modules over local rings. Zbl 1086.16504Avramov, Luchezar L. 11 2002 Resolutions and cohomology over complete intersections. Zbl 0994.13006Avramov, Luchezar L.; Grayson, Daniel R. 5 2002 Homological criteria for regular homomorphisms and for locally complete intersection homomorphisms. Zbl 1044.13006Avramov, Luchezar L.; Iyengar, Srikanth 4 2002 Homotopy Lie algebras and Poincaré series of algebras with monomial relations. Zbl 1031.13006Avramov, Luchezar L. 3 2002 Finite regularity and Koszul algebras. Zbl 1053.13500Avramov, Luchezar L.; Peeva, Irena 24 2001 Frobenius powers of complete intersections. Zbl 1034.13006Avramov, Luchezar L.; Miller, Claudia 9 2001 Support varieties and cohomology over complete intersections. Zbl 0999.13008Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 107 2000 Resolutions of monomial ideals and cohomology over exterior algebras. Zbl 0930.13011Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen 44 2000 Homological algebra modulo a regular sequence with special attention to codimension two. Zbl 1011.13007Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 22 2000 Finite generation of Hochschild homology algebras. Zbl 0966.13009Avramov, Luchezar L.; Iyengar, Srikanth 4 2000 Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology. Zbl 0968.13007Avramov, Luchezar L. 25 1999 Infinite free resolutions. Zbl 0934.13008Avramov, Luchezar L. 150 1998 Cohomology operators defined by a deformation. Zbl 0915.13009Avramov, Luchezar L.; Sun, Li-Chuan 22 1998 Cohen-Macaulay properties of ring homomorphisms. Zbl 0935.13008Avramov, Luchezar L.; Foxby, Hans-Bjørn 16 1998 Complete intersection dimension. Zbl 0918.13008Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 115 1997 Ring homomorphisms and finite Gorenstein dimension. Zbl 0901.13011Avramov, Luchezar L.; Foxby, Hans-Bjørn 82 1997 Laurent coefficients and Ext of finite graded modules. Zbl 0869.13007Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Sally, Judith D. 8 1997 Modules with extremal resolutions. Zbl 0867.13003Avramov, Luchezar L. 14 1996 Structure of local homomorphisms. Zbl 0798.13002Avramov, Luchezar L.; Foxby, Hans-Bjørn; Herzog, Bernd 44 1994 Local rings over which all modules have rational Poincaré series. Zbl 0794.13010Avramov, Luchezar L. 14 1994 Jacobian criteria for complete intersections. The graded case. Zbl 0813.13024Avramov, Luchezar L.; Herzog, Jürgen 10 1994 Grothendieck’s localization problem. Zbl 0804.13006Avramov, Luchezar L.; Foxby, Hans-Bjørn 6 1994 Locally complete intersection homomorphisms and vanishing of André- Quillen homology. Zbl 0820.13012Avramov, Luchezar L. 2 1994 Lower bounds of Betti numbers. Zbl 0786.13004Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 14 1993 Bass series of local ring homomorphisms of finite flat dimension. Zbl 0770.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Lescot, Jack 13 1993 Locally Gorenstein homomorphisms. Zbl 0769.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn 38 1992 Regularity of modules over a Koszul algebra. Zbl 0770.13006Avramov, Luchezar L.; Eisenbud, David 30 1992 Hochschild homology criteria for smoothness. Zbl 0755.13006Avramov, Luchezar L.; Vigué-Poirrier, Micheline 21 1992 Problems on infinite free resolutions. Zbl 0778.13010Avramov, Luchezar L. 6 1992 Homological dimensions of unbounded complexes. Zbl 0737.16002Avramov, Luchezar L.; Foxby, Hans-Bjørn 176 1991 Gorenstein local homomorphisms. Zbl 0712.13006Avramov, Luchezar L.; Foxby, Hans-Bjørn 8 1990 Espaces de Golod. (Golod spaces). Zbl 0725.55008Avramov, L. L.; Félix, Y. 3 1990 Modules of finite virtual projective dimension. Zbl 0677.13004Avramov, L. L. 81 1989 Homological asymptotics of modules over local rings. Zbl 0788.18010Avramov, Luchezar L. 34 1989 A periodic module of infinite virtual projective dimension. Zbl 0694.13007Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 6 1989 Séries de Bass des homomorphismes locaux de Tor-dimension finie. (Bass series of local ring homomorphisms of finite flat dimension). Zbl 0687.13009Avramov, Luchézar L.; Foxby, Hans-Bjørn; Lescot, Jack 3 1989 Poincaré series of modules over local rings of small embedding codepth or small linking number. Zbl 0648.13008Avramov, Luchezar L.; Kustin, Andrew R.; Miller, Matthew 58 1988 On the non-vanishing of cotangent cohomology. Zbl 0624.13013Avramov, Luchezar; Halperin, Stephen 6 1987 Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010Avramov, Luchezar; Halperin, Stephen 33 1986 Golod homomorphisms. Zbl 0589.13004Avramov, Luchezar L. 14 1986 Singularities of quotients by vector fields in characteristic \(p\). Zbl 0566.14001Aramova, Annetta G.; Avramov, Luchezar L. 8 1986 Torsion in loop space homology. Zbl 0594.55007Avramov, Luchezar L. 4 1986 Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen 10 1985 Local algebra and rational homotopy. Zbl 0552.13003Avramov, Luchezar L. 28 1984 Local rings of finite simplicial dimension. Zbl 0552.13005Avramov, Luchezar L. 3 1984 On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009Avramov, Luchezar L.; Halperin, Stephen 2 1984 Obstructions to the existence of a multiplicative structure on minimal resolutions. Zbl 0542.13007Avramov, L. L. 1 1983 Free Lie subalgebras of the cohomology of local rings. Zbl 0516.13022Avramov, Luchezar L. 9 1982 Descente des déviations par homomorphismes locaux et generation des ideaux de dimension projective finie. Zbl 0509.13008Avramov, Luchezar 6 1982 Pseudo-reflection group actions on local rings. Zbl 0488.13008Avramov, Luchezar L. 6 1982 Relations between properties of a ring and of its associated graded ring. Zbl 0509.13027Achilles, Ruediger; Avramov, Luchezar L. 5 1982 Bass numbers and Golod rings. Zbl 0509.13009Avramov, Luchezar L.; Lescot, Jack 3 1982 When do the symmetric tensors of a commutative algebra form a Frobenius algebra? Zbl 0497.16005Aramova, Annetta G.; Avramov, Luchezar L. 1 1982 Invariants d’un groupe fini engendre par des pseudo-reflexions, operant sur un anneau local. Zbl 0516.13005Avramov, Luchezar L. 1 1982 Complete intersections and symmetric algebras. Zbl 0516.13001Avramov, Luchezar L. 44 1981 Obstructions to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13006Avramov, Luchezar L. 31 1981 Poincaré series of almost complete intersections of embedding dimension three. Zbl 0516.13021Avramov, Luchezar L. 6 1981 Symmetric algebras of modules of projective dimension one. Zbl 0516.13002Avramov, Luchezar L. 2 1981 Differential graded models for local rings. Zbl 0509.13010Avramov, Luchezar L. 1 1981 The Koszul algebra of a codimension 2 embedding. Zbl 0461.14014Avramov, Lacezar; Herzog, Jürgen 47 1980 A class of factorial domains. Zbl 0443.13009Avramov, Luchezar L. 11 1979 Obstruction to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13005Avramov, Luchezar L. 1 1979 Sur la croissance des nombres de Betti d’un anneau local. Zbl 0425.13009Avramov, Luchezar 1 1979 On the convergence radius of Poincaré series of local rings. Zbl 0433.13010Avramov, Luchezar L. 1 1979 Small homomorphisms of local rings. Zbl 0395.13005Avramov, Luchezar L. 41 1978 Factoring out the socle of a Gorenstein ring. Zbl 0407.13018Levin, Gerson L.; Avramov, Luchezar L. 23 1978 Homomorphismes d’anneaux locaux et homologie. Zbl 0433.13011Avramov, Luchezar L. 1 1978 Homology of local flat extensions and complete intersection defects. Zbl 0333.13011Avramov, Luchezar L. 18 1977 On the homology of a tensor product of local rings. Zbl 0324.13016Avramov, L. L. 2 1976 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 823 Authors 45 Sather-Wagstaff, Keri 44 Takahashi, Ryo 43 Iyengar, Srikanth B. 38 Avramov, Luchezar L. 30 Winther Christensen, Lars 28 Celikbas, Olgur 27 Jorgensen, David A. 26 Kustin, Andrew R. 25 Liu, Zhong-kui 24 Bergh, Petter Andreas 22 Yassemi, Siamak 21 Liang, Li 21 Salarian, Shokrollah 19 Ulrich, Bernd 18 Asadollahi, Javad J. 18 Şega, Liana M. 17 Peeva, Irena V. 17 Vasconcelos, Wolmer V. 17 Zhang, Pu 16 Nasseh, Saeed 16 Sadeghi, Arash 15 Eisenbud, David 15 Herzog, Jürgen 14 Dao, Hailong 14 Huneke, Craig L. 12 Hu, Jiangsheng 12 Veliche, Oana 12 Wu, Dejun 11 Conca, Aldo 11 Holm, Henrik 11 Nguyen, Dang Hop 11 Pollitz, Josh 11 Puthenpurakal, Tony J. 11 Shaul, Liran 11 Tousi, Massoud 11 Vraciu, Adela N. 11 Yang, Gang 10 Frankild, Anders J. 10 Halperin, Stephen 10 Huang, Zhaoyong 10 Miller, Matthew P. 10 Moore, W. Frank 10 Römer, Tim 10 Salimi, Maryam 10 Simis, Aron 10 Tavasoli, Elham 9 Araya, Tokuji 9 Gasharov, Vesselin N. 9 Thompson, Peder 9 VandeBogert, Keller 8 Benson, David John 8 Di, Zhenxing 8 Emmanouil, Ioannis 8 Félix, Yves 8 Gao, Nan 8 Gheibi, Mohsen 8 Iacob, Alina C. 8 Matsui, Hiroki 8 Ren, Wei 8 Weyman, Jerzy M. 7 Bruns, Winfried 7 Buchweitz, Ragnar-Olaf 7 Enochs, Edgar E. 7 Estrada, Sergio 7 Ghosh, Dipankar 7 Goto, Shiro 7 Greenlees, John P. C. 7 Kobayashi, Toshinori 7 Krause, Henning 7 Majadas, Javier 7 Mori, Izuru 7 Oppermann, Steffen 7 Piepmeyer, Greg 7 Roos, Jan-Erik 7 Sharif, Tirdad 7 Spiroff, Sandra 7 Thomas, Jean-Claude 7 Vu, Thanh 7 Yang, Xiaoyan 7 Yoshino, Yuji 7 Zhu, Xiaosheng 6 Bahlekeh, Abdolnaser 6 Chardin, Marc 6 Dibaei, Mohammad T. 6 Ding, Nanqing 6 Divaani-Aazar, Kamran 6 Ferraro, Luigi 6 García Rozas, Juan Ramon 6 Lu, Ming 6 Maleki, Rasoul Ahangari 6 Mao, XueFeng 6 McCullough, Jason 6 Solotar, Andrea Leonor 6 Striuli, Janet 6 Suciu, Alexander I. 6 Welker, Volkmar 6 Wicklein, Richard 6 Zacharia, Dan 5 Briggs, Benjamin 5 Chen, Xiaowu ...and 723 more Authors all top 5 Cited in 137 Serials 239 Journal of Algebra 150 Journal of Pure and Applied Algebra 122 Communications in Algebra 56 Transactions of the American Mathematical Society 46 Proceedings of the American Mathematical Society 45 Advances in Mathematics 41 Journal of Algebra and its Applications 37 Journal of Commutative Algebra 36 Algebras and Representation Theory 32 Mathematische Zeitschrift 15 Archiv der Mathematik 14 Collectanea Mathematica 14 Compositio Mathematica 14 Nagoya Mathematical Journal 11 Israel Journal of Mathematics 11 Bulletin of the Iranian Mathematical Society 10 Illinois Journal of Mathematics 10 Mathematische Annalen 9 Inventiones Mathematicae 9 Manuscripta Mathematica 9 Algebra Colloquium 9 Acta Mathematica Sinica. 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Second Series 2 Forum of Mathematics, Pi 2 European Journal of Mathematics 1 Communications in Mathematical Physics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Beiträge zur Algebra und Geometrie 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Matematički Vesnik 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 37 more Serials all top 5 Cited in 27 Fields 869 Commutative algebra (13-XX) 364 Associative rings and algebras (16-XX) 274 Category theory; homological algebra (18-XX) 198 Algebraic geometry (14-XX) 86 Algebraic topology (55-XX) 52 Group theory and generalizations (20-XX) 36 Combinatorics (05-XX) 31 Nonassociative rings and algebras (17-XX) 25 Manifolds and cell complexes (57-XX) 13 Convex and discrete geometry (52-XX) 12 \(K\)-theory (19-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Several complex variables and analytic spaces (32-XX) 7 Differential geometry (53-XX) 6 Number theory (11-XX) 4 Computer science (68-XX) 3 Quantum theory (81-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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