Edit Profile Avramov, Luchezar L. Compute Distance To: Compute Author ID: avramov.luchezar-l Published as: Avramov, L. L.; Avramov, Lacezar; Avramov, Luchezar; Avramov, Luchezar L.; Avramov, Luchézar L. External Links: MGP · Wikidata Documents Indexed: 118 Publications since 1971, including 5 Books Reviewing Activity: 40 Reviews all top 5 Co-Authors 42 single-authored 23 Iyengar, Srikanth B. 10 Foxby, Hans-Bjørn 9 Buchweitz, Ragnar-Olaf 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 Smith, Karen E. 2 Sturmfels, Bernd 1 Achilles, Rüdiger 1 Ananthnarayan, Hariharan 1 Bonacho Dos Anjos Henriques, Inês 1 Borek, Adam 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 Lowen, Wendy 1 Mandell, Michael A. 1 Martsinkovsky, Alex 1 Miller, Matthew P. 1 Moore, W. Frank 1 Morales, Marcel 1 Nasseh, Saeed 1 Nayak, Suresh 1 Neeman, Amnon 1 Polini, Claudia 1 Sally, Judith D. 1 Sather-Wagstaff, Sean 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 9 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 all top 5 Fields 112 Commutative algebra (13-XX) 26 Algebraic geometry (14-XX) 23 Associative rings and algebras (16-XX) 21 Algebraic topology (55-XX) 13 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 101 Publications have been cited 1,784 times in 1,021 Documents Cited by ▼ Year ▼ Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension. Zbl 1047.16002Avramov, Luchezar L.; Martsinkovsky, Alex 168 2002 Homological dimensions of unbounded complexes. Zbl 0737.16002Avramov, Luchezar L.; Foxby, Hans-Bjørn 136 1991 Infinite free resolutions. Zbl 0934.13008Avramov, Luchezar L. 103 1998 Complete intersection dimension. Zbl 0918.13008Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 88 1997 Support varieties and cohomology over complete intersections. Zbl 0999.13008Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 75 2000 Ring homomorphisms and finite Gorenstein dimension. Zbl 0901.13011Avramov, Luchezar L.; Foxby, Hans-Bjørn 65 1997 Modules of finite virtual projective dimension. Zbl 0677.13004Avramov, L. L. 62 1989 The Koszul algebra of a codimension 2 embedding. Zbl 0461.14014Avramov, Lacezar; Herzog, Jürgen 48 1980 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 41 1988 Complete intersections and symmetric algebras. Zbl 0516.13001Avramov, Luchezar L. 39 1981 Resolutions of monomial ideals and cohomology over exterior algebras. Zbl 0930.13011Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen 38 2000 Small homomorphisms of local rings. Zbl 0395.13005Avramov, Luchezar L. 38 1978 Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010Avramov, Luchezar; Halperin, Stephen 37 1986 Local algebra and rational homotopy. Zbl 0552.13003Avramov, Luchezar L. 34 1984 Structure of local homomorphisms. Zbl 0798.13002Avramov, Luchezar L.; Foxby, Hans-Bjørn; Herzog, Bernd 33 1994 Locally Gorenstein homomorphisms. Zbl 0769.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn 33 1992 Homological asymptotics of modules over local rings. Zbl 0788.18010Avramov, Luchezar L. 31 1989 Homology of perfect complexes. Zbl 1186.13006Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 27 2010 Regularity of modules over a Koszul algebra. Zbl 0770.13006Avramov, Luchezar L.; Eisenbud, David 27 1992 Obstructions to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13006Avramov, Luchezar L. 27 1981 Homology over local homomorphisms. Zbl 1102.13011Avramov, Luchezar L.; Iyengar, Srikanth; Miller, Claudia 20 2006 Finite regularity and Koszul algebras. Zbl 1053.13500Avramov, Luchezar L.; Peeva, Irena 20 2001 Subadditivity of syzygies of Koszul algebras. Zbl 1333.13021Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 19 2015 Free resolutions over short local rings. Zbl 1153.13011Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 19 2008 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. 19 2005 Hochschild homology criteria for smoothness. Zbl 0755.13006Avramov, Luchezar L.; Vigué-Poirrier, Micheline 18 1992 Factoring out the socle of a Gorenstein ring. Zbl 0407.13018Levin, Gerson L.; Avramov, Luchezar L. 18 1978 Reflexivity and rigidity for complexes, I: Commutative rings. Zbl 1194.13017Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph 16 2010 Constructing modules with prescribed cohomological support. Zbl 1121.13014Avramov, Luchezar L.; Iyengar, Srikanth B. 16 2007 Homological algebra modulo a regular sequence with special attention to codimension two. Zbl 1011.13007Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 16 2000 Free resolutions over commutative Koszul algebras. Zbl 1231.13012Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 15 2010 Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology. Zbl 0968.13007Avramov, Luchezar L. 15 1999 Stable cohomology over local rings. Zbl 1127.13012Avramov, Luchezar L.; Veliche, Oana 14 2007 Golod homomorphisms. Zbl 0589.13004Avramov, Luchezar L. 14 1986 Homology of local flat extensions and complete intersection defects. Zbl 0333.13011Avramov, Luchezar L. 14 1977 Connected sums of Gorenstein local rings. Zbl 1271.13047Ananthnarayan, H.; Avramov, Luchezar L.; Moore, W. Frank 13 2012 Reduction of derived Hochschild functors over commutative algebras and schemes. Zbl 1183.13021Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph; Nayak, Suresh 13 2010 Class rank of differential modules. Zbl 1153.13010Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth 13 2007 Flat morphisms of complete intersections. Zbl 0334.13009Avramov, L. L. 13 1975 Homological dimensions and related invariants of modules over local rings. Zbl 1086.16504Avramov, Luchezar L. 12 2002 Cohomology operators defined by a deformation. Zbl 0915.13009Avramov, Luchezar L.; Sun, Li-Chuan 12 1998 Cohen-Macaulay properties of ring homomorphisms. Zbl 0935.13008Avramov, Luchezar L.; Foxby, Hans-Bjørn 12 1998 Modules with extremal resolutions. Zbl 0867.13003Avramov, Luchezar L. 12 1996 Local rings over which all modules have rational Poincaré series. Zbl 0794.13010Avramov, Luchezar L. 12 1994 Lower bounds of Betti numbers. Zbl 0786.13004Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 12 1993 Bass series of local ring homomorphisms of finite flat dimension. Zbl 0770.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Lescot, Jack 12 1993 Homology algebra of the Koszul complex of a local Gorenstein ring. Zbl 0222.13014Avramov, L. L.; Golod, E. S. 12 1971 Reflexivity and rigidity for complexes. II: Schemes. Zbl 1246.14005Avramov, Luchezar; Iyengar, Srikanth B.; Lipman, Joseph 11 2011 Über die Homologiealgebra des Koszulschen Komplexes eines lokalen Gorenstein-Ringes. Zbl 0213.04904Avramov, L. L.; Golod, E. S. 11 1971 Homological invariants of modules over contracting endomorphisms. Zbl 1241.13013Avramov, Luchezar L.; Hochster, Melvin; Iyengar, Srikanth B.; Yao, Yongwei 9 2012 Gaps in Hochschild cohomology imply smoothness for commutative algebras. Zbl 1101.13018Avramov, Luchezar L.; Iyengar, Srikanth 9 2005 Frobenius powers of complete intersections. Zbl 1034.13006Avramov, Luchezar L.; Miller, Claudia 9 2001 Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen 9 1985 Free Lie subalgebras of the cohomology of local rings. Zbl 0516.13022Avramov, Luchezar L. 9 1982 A class of factorial domains. Zbl 0443.13009Avramov, Luchezar L. 9 1979 Über die Hopfsche Algebra eines lokalen Ringes. Zbl 0295.13005Avramov, L. L. 9 1974 Homology over trivial extensions of commutative DG algebras. Zbl 1452.13019Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Sean 7 2019 Quasi-complete intersection homomorphisms. Zbl 1310.13020Avramov, Luchezar L.; Bonacho Dos Anjos Henriques, Inês; Şega, Liana M. 7 2013 A cohomological study of local rings of embedding codepth 3. Zbl 1259.13010Avramov, Luchezar L. 7 2012 Laurent coefficients and Ext of finite graded modules. Zbl 0869.13007Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Sally, Judith D. 7 1997 On the Hopf algebra of a local ring. Zbl 0299.13011Avramov, L. L. 7 1975 Problems on infinite free resolutions. Zbl 0778.13010Avramov, Luchezar L. 6 1992 Singularities of quotients by vector fields in characteristic \(p\). Zbl 0566.14001Aramova, Annetta G.; Avramov, Luchezar L. 6 1986 Gorenstein algebras and Hochschild cohomology. Zbl 1245.13011Avramov, Luchezar L.; Iyengar, Srikanth B. 5 2008 Gorenstein local homomorphisms. Zbl 0712.13006Avramov, Luchezar L.; Foxby, Hans-Bjørn 5 1990 A periodic module of infinite virtual projective dimension. Zbl 0694.13007Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 5 1989 Relations between properties of a ring and of its associated graded ring. Zbl 0509.13027Achilles, Ruediger; Avramov, Luchezar L. 5 1982 Pseudo-reflection group actions on local rings. Zbl 0488.13008Avramov, Luchezar L. 5 1982 Poincaré series of almost complete intersections of embedding dimension three. Zbl 0516.13021Avramov, Luchezar L. 5 1981 Cohomology over complete intersections via exterior algebras. Zbl 1211.13006Avramov, Luchezar L.; Iyengar, Srikanth B. 4 2010 André-Quillen homology of algebra retracts. Zbl 1079.13503Avramov, Luchezar L.; Iyengar, Srikanth 4 2003 Resolutions and cohomology over complete intersections. Zbl 0994.13006Avramov, Luchezar L.; Grayson, Daniel R. 4 2002 Jacobian criteria for complete intersections. The graded case. Zbl 0813.13024Avramov, Luchezar L.; Herzog, Jürgen 4 1994 Grothendieck’s localization problem. Zbl 0804.13006Avramov, Luchezar L.; Foxby, Hans-Bjørn 4 1994 Torsion in loop space homology. Zbl 0594.55007Avramov, Luchezar L. 4 1986 Descente des déviations par homomorphismes locaux et generation des ideaux de dimension projective finie. Zbl 0509.13008Avramov, Luchezar 4 1982 Homotopy Lie algebras and Poincaré series of algebras with monomial relations. Zbl 1031.13006Avramov, Luchezar L. 3 2002 Finite generation of Hochschild homology algebras. Zbl 0966.13009Avramov, Luchezar L.; Iyengar, Srikanth 3 2000 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 On the non-vanishing of cotangent cohomology. Zbl 0624.13013Avramov, Luchezar; Halperin, Stephen 3 1987 On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009Avramov, Luchezar L.; Halperin, Stephen 3 1984 Bass numbers and Golod rings. Zbl 0509.13009Avramov, Luchezar L.; Lescot, Jack 3 1982 (Contravariant) Koszul duality for DG algebras. Zbl 1319.16013Avramov, Luchezar L. 2 2013 Homological criteria for regular homomorphisms and for locally complete intersection homomorphisms. Zbl 1044.13006Avramov, Luchezar L.; Iyengar, Srikanth 2 2002 Locally complete intersection homomorphisms and vanishing of André- Quillen homology. Zbl 0820.13012Avramov, Luchezar L. 2 1994 Local rings of finite simplicial dimension. Zbl 0552.13005Avramov, Luchezar L. 2 1984 Detecting flatness over smooth bases. Zbl 1267.13021Avramov, Luchezar L.; Iyengar, Srikanth B. 1 2013 Short Koszul modules. Zbl 1237.13025Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 1 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 1 2010 Obstructions to the existence of a multiplicative structure on minimal resolutions. Zbl 0542.13007Avramov, L. L. 1 1983 When do the symmetric tensors of a commutative algebra form a Frobenius algebra? Zbl 0497.16005Aramova, Annetta G.; Avramov, Luchezar L. 1 1982 Symmetric algebras of modules of projective dimension one. Zbl 0516.13002Avramov, Luchezar L. 1 1981 Differential graded models for local rings. Zbl 0509.13010Avramov, Luchezar L. 1 1981 Obstruction to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13005Avramov, Luchezar L. 1 1979 On the convergence radius of Poincaré series of local rings. Zbl 0433.13010Avramov, Luchezar L. 1 1979 Sur la croissance des nombres de Betti d’un anneau local. Zbl 0425.13009Avramov, Luchezar 1 1979 Homomorphismes d’anneaux locaux et homologie. Zbl 0415.13011Avramov, L. L. 1 1979 Homomorphismes d’anneaux locaux et homologie. Zbl 0433.13011Avramov, Luchezar L. 1 1978 On the homology of a tensor product of local rings. Zbl 0324.13016Avramov, L. L. 1 1976 Homology over trivial extensions of commutative DG algebras. Zbl 1452.13019Avramov, Luchezar L.; Iyengar, Srikanth B.; Nasseh, Saeed; Sather-Wagstaff, Sean 7 2019 Subadditivity of syzygies of Koszul algebras. Zbl 1333.13021Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 19 2015 Quasi-complete intersection homomorphisms. Zbl 1310.13020Avramov, Luchezar L.; Bonacho Dos Anjos Henriques, Inês; Şega, Liana M. 7 2013 (Contravariant) Koszul duality for DG algebras. Zbl 1319.16013Avramov, Luchezar L. 2 2013 Detecting flatness over smooth bases. Zbl 1267.13021Avramov, Luchezar L.; Iyengar, Srikanth B. 1 2013 Connected sums of Gorenstein local rings. Zbl 1271.13047Ananthnarayan, H.; Avramov, Luchezar L.; Moore, W. Frank 13 2012 Homological invariants of modules over contracting endomorphisms. Zbl 1241.13013Avramov, Luchezar L.; Hochster, Melvin; Iyengar, Srikanth B.; Yao, Yongwei 9 2012 A cohomological study of local rings of embedding codepth 3. Zbl 1259.13010Avramov, Luchezar L. 7 2012 Reflexivity and rigidity for complexes. II: Schemes. Zbl 1246.14005Avramov, Luchezar; Iyengar, Srikanth B.; Lipman, Joseph 11 2011 Homology of perfect complexes. Zbl 1186.13006Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth B.; Miller, Claudia 27 2010 Reflexivity and rigidity for complexes, I: Commutative rings. Zbl 1194.13017Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph 16 2010 Free resolutions over commutative Koszul algebras. Zbl 1231.13012Avramov, Luchezar L.; Conca, Aldo; Iyengar, Srikanth B. 15 2010 Reduction of derived Hochschild functors over commutative algebras and schemes. Zbl 1183.13021Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph; Nayak, Suresh 13 2010 Cohomology over complete intersections via exterior algebras. Zbl 1211.13006Avramov, Luchezar L.; Iyengar, Srikanth B. 4 2010 Short Koszul modules. Zbl 1237.13025Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 1 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 1 2010 Free resolutions over short local rings. Zbl 1153.13011Avramov, Luchezar L.; Iyengar, Srikanth B.; Şega, Liana M. 19 2008 Gorenstein algebras and Hochschild cohomology. Zbl 1245.13011Avramov, Luchezar L.; Iyengar, Srikanth B. 5 2008 Constructing modules with prescribed cohomological support. Zbl 1121.13014Avramov, Luchezar L.; Iyengar, Srikanth B. 16 2007 Stable cohomology over local rings. Zbl 1127.13012Avramov, Luchezar L.; Veliche, Oana 14 2007 Class rank of differential modules. Zbl 1153.13010Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Iyengar, Srikanth 13 2007 Homology over local homomorphisms. Zbl 1102.13011Avramov, Luchezar L.; Iyengar, Srikanth; Miller, Claudia 20 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. 19 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 4 2003 Absolute, relative, and Tate cohomology of modules of finite Gorenstein dimension. Zbl 1047.16002Avramov, Luchezar L.; Martsinkovsky, Alex 168 2002 Homological dimensions and related invariants of modules over local rings. Zbl 1086.16504Avramov, Luchezar L. 12 2002 Resolutions and cohomology over complete intersections. Zbl 0994.13006Avramov, Luchezar L.; Grayson, Daniel R. 4 2002 Homotopy Lie algebras and Poincaré series of algebras with monomial relations. Zbl 1031.13006Avramov, Luchezar L. 3 2002 Homological criteria for regular homomorphisms and for locally complete intersection homomorphisms. Zbl 1044.13006Avramov, Luchezar L.; Iyengar, Srikanth 2 2002 Finite regularity and Koszul algebras. Zbl 1053.13500Avramov, Luchezar L.; Peeva, Irena 20 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 75 2000 Resolutions of monomial ideals and cohomology over exterior algebras. Zbl 0930.13011Aramova, Annetta; Avramov, Luchezar L.; Herzog, Jürgen 38 2000 Homological algebra modulo a regular sequence with special attention to codimension two. Zbl 1011.13007Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf 16 2000 Finite generation of Hochschild homology algebras. Zbl 0966.13009Avramov, Luchezar L.; Iyengar, Srikanth 3 2000 Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology. Zbl 0968.13007Avramov, Luchezar L. 15 1999 Infinite free resolutions. Zbl 0934.13008Avramov, Luchezar L. 103 1998 Cohomology operators defined by a deformation. Zbl 0915.13009Avramov, Luchezar L.; Sun, Li-Chuan 12 1998 Cohen-Macaulay properties of ring homomorphisms. Zbl 0935.13008Avramov, Luchezar L.; Foxby, Hans-Bjørn 12 1998 Complete intersection dimension. Zbl 0918.13008Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 88 1997 Ring homomorphisms and finite Gorenstein dimension. Zbl 0901.13011Avramov, Luchezar L.; Foxby, Hans-Bjørn 65 1997 Laurent coefficients and Ext of finite graded modules. Zbl 0869.13007Avramov, Luchezar L.; Buchweitz, Ragnar-Olaf; Sally, Judith D. 7 1997 Modules with extremal resolutions. Zbl 0867.13003Avramov, Luchezar L. 12 1996 Structure of local homomorphisms. Zbl 0798.13002Avramov, Luchezar L.; Foxby, Hans-Bjørn; Herzog, Bernd 33 1994 Local rings over which all modules have rational Poincaré series. Zbl 0794.13010Avramov, Luchezar L. 12 1994 Jacobian criteria for complete intersections. The graded case. Zbl 0813.13024Avramov, Luchezar L.; Herzog, Jürgen 4 1994 Grothendieck’s localization problem. Zbl 0804.13006Avramov, Luchezar L.; Foxby, Hans-Bjørn 4 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 12 1993 Bass series of local ring homomorphisms of finite flat dimension. Zbl 0770.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Lescot, Jack 12 1993 Locally Gorenstein homomorphisms. Zbl 0769.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn 33 1992 Regularity of modules over a Koszul algebra. Zbl 0770.13006Avramov, Luchezar L.; Eisenbud, David 27 1992 Hochschild homology criteria for smoothness. Zbl 0755.13006Avramov, Luchezar L.; Vigué-Poirrier, Micheline 18 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 136 1991 Gorenstein local homomorphisms. Zbl 0712.13006Avramov, Luchezar L.; Foxby, Hans-Bjørn 5 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. 62 1989 Homological asymptotics of modules over local rings. Zbl 0788.18010Avramov, Luchezar L. 31 1989 A periodic module of infinite virtual projective dimension. Zbl 0694.13007Avramov, Luchezar L.; Gasharov, Vesselin N.; Peeva, Irena V. 5 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 41 1988 On the non-vanishing of cotangent cohomology. Zbl 0624.13013Avramov, Luchezar; Halperin, Stephen 3 1987 Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010Avramov, Luchezar; Halperin, Stephen 37 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. 6 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 9 1985 Local algebra and rational homotopy. Zbl 0552.13003Avramov, Luchezar L. 34 1984 On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009Avramov, Luchezar L.; Halperin, Stephen 3 1984 Local rings of finite simplicial dimension. Zbl 0552.13005Avramov, Luchezar L. 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 Relations between properties of a ring and of its associated graded ring. Zbl 0509.13027Achilles, Ruediger; Avramov, Luchezar L. 5 1982 Pseudo-reflection group actions on local rings. Zbl 0488.13008Avramov, Luchezar L. 5 1982 Descente des déviations par homomorphismes locaux et generation des ideaux de dimension projective finie. Zbl 0509.13008Avramov, Luchezar 4 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 Complete intersections and symmetric algebras. Zbl 0516.13001Avramov, Luchezar L. 39 1981 Obstructions to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13006Avramov, Luchezar L. 27 1981 Poincaré series of almost complete intersections of embedding dimension three. Zbl 0516.13021Avramov, Luchezar L. 5 1981 Symmetric algebras of modules of projective dimension one. Zbl 0516.13002Avramov, Luchezar L. 1 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 48 1980 A class of factorial domains. Zbl 0443.13009Avramov, Luchezar L. 9 1979 Obstruction to the existence of multiplicative structures on minimal free resolutions. Zbl 0447.13005Avramov, Luchezar L. 1 1979 On the convergence radius of Poincaré series of local rings. Zbl 0433.13010Avramov, Luchezar L. 1 1979 Sur la croissance des nombres de Betti d’un anneau local. Zbl 0425.13009Avramov, Luchezar 1 1979 Homomorphismes d’anneaux locaux et homologie. Zbl 0415.13011Avramov, L. L. 1 1979 Small homomorphisms of local rings. Zbl 0395.13005Avramov, Luchezar L. 38 1978 Factoring out the socle of a Gorenstein ring. Zbl 0407.13018Levin, Gerson L.; Avramov, Luchezar L. 18 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. 14 1977 On the homology of a tensor product of local rings. Zbl 0324.13016Avramov, L. L. 1 1976 Flat morphisms of complete intersections. Zbl 0334.13009Avramov, L. L. 13 1975 On the Hopf algebra of a local ring. Zbl 0299.13011Avramov, L. L. 7 1975 Über die Hopfsche Algebra eines lokalen Ringes. Zbl 0295.13005Avramov, L. L. 9 1974 Über Gorensteinsche Moduln. Zbl 0239.13015Avramov, L. L.; Strogalov, S. S.; Todorov, A. N. 1 1972 Homology algebra of the Koszul complex of a local Gorenstein ring. Zbl 0222.13014Avramov, L. L.; Golod, E. S. 12 1971 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 713 Authors 37 Avramov, Luchezar L. 35 Sather-Wagstaff, Sean 34 Iyengar, Srikanth B. 34 Takahashi, Ryo 28 Winther Christensen, Lars 23 Kustin, Andrew R. 22 Bergh, Petter Andreas 22 Liu, Zhong-kui 21 Celikbas, Olgur 21 Jorgensen, David A. 21 Liang, Li 21 Yassemi, Siamak 20 Salarian, Shokrollah 19 Ulrich, Bernd 18 Asadollahi, Javad J. 17 Vasconcelos, Wolmer V. 16 Peeva, Irena V. 16 Şega, Liana M. 15 Herzog, Jürgen 14 Huneke, Craig L. 12 Eisenbud, David 12 Jørgensen, Peter Bjørn 12 Nasseh, Saeed 12 Zhang, Pu 11 Frankild, Anders J. 11 Holm, Henrik 11 Sadeghi, Arash 11 Simis, Aron 11 Yang, Gang 10 Dao, Hailong 10 Halperin, Stephen 10 Miller, Matthew P. 10 Nguyen, Dang Hop 10 Tousi, Massoud 9 Gasharov, Vesselin N. 9 Hu, Jiangsheng 9 Römer, Tim 9 Veliche, Oana 9 Wu, Dejun 8 Araya, Tokuji 8 Conca, Aldo 8 Félix, Yves 8 Gao, Nan 8 Huang, Zhaoyong 8 Moore, W. Frank 8 Puthenpurakal, Tony J. 8 Ren, Wei 8 Shaul, Liran 8 Tavasoli, Elham 7 Benson, David John 7 Buchweitz, Ragnar-Olaf 7 Di, Zhenxing 7 Enochs, Edgar E. 7 Estrada, Sergio 7 Iacob, Alina C. 7 Piepmeyer, Greg 7 Roos, Jan-Erik 7 Sharif, Tirdad 7 Thomas, Jean-Claude 7 Thompson, Peder 7 Vraciu, Adela N. 7 Weyman, Jerzy M. 7 Zhu, Xiaosheng 6 Bruns, Winfried 6 Chardin, Marc 6 Ding, Nanqing 6 Emmanouil, Ioannis 6 Foxby, Hans-Bjørn 6 Greenlees, John P. C. 6 Majadas, Javier 6 Maleki, Rasoul Ahangari 6 Mori, Izuru 6 Oppermann, Steffen 6 Salimi, Maryam 6 Spiroff, Sandra 6 Suciu, Alexander I. 6 Vu, Thanh 5 Chen, Xiaowu 5 De Negri, Emanuela 5 Dibaei, Mohammad T. 5 Divaani-Aazar, Kamran 5 Ghosh, Dipankar 5 Katthän, Lukas 5 Krause, Henning 5 Murai, Satoshi 5 Rahmati, Hamidreza 5 Rossi, Maria Evelina 5 Sam, Steven V. 5 Srinivasan, Hema 5 Striuli, Janet 5 Welker, Volkmar 5 Xu, Yunge 5 Yang, Xiaoyan 5 Zacharia, Dan 5 Zhang, Xiaoxiang 4 Aramova, Annetta G. 4 Bahlekeh, Abdolnaser 4 Chen, Jianlong 4 Denham, Graham 4 Elias, Juan ...and 613 more Authors all top 5 Cited in 110 Serials 214 Journal of Algebra 134 Journal of Pure and Applied Algebra 109 Communications in Algebra 52 Transactions of the American Mathematical Society 41 Advances in Mathematics 41 Proceedings of the American Mathematical Society 32 Journal of Algebra and its Applications 29 Algebras and Representation Theory 29 Journal of Commutative Algebra 25 Mathematische Zeitschrift 14 Archiv der Mathematik 12 Compositio Mathematica 10 Mathematische Annalen 10 Nagoya Mathematical Journal 9 Collectanea Mathematica 9 Manuscripta Mathematica 9 Algebra Colloquium 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Glasgow Mathematical Journal 8 Inventiones Mathematicae 8 Acta Mathematica Sinica. 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Series II 3 Rendiconti del Seminario Matematico della Università di Padova 3 Journal of Symbolic Computation 3 Journal of the American Mathematical Society 3 Science in China. Series A 3 Bulletin of the American Mathematical Society. New Series 3 Turkish Journal of Mathematics 3 Bulletin des Sciences Mathématiques 3 Journal of High Energy Physics 2 Mathematical Notes 2 Colloquium Mathematicum 2 Duke Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Pacific Journal of Mathematics 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Topology and its Applications 2 Advances in Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Acta Mathematica Hungarica 2 \(K\)-Theory 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Mathematical Sciences (New York) 2 Documenta Mathematica 2 Annals of Mathematics. Second Series 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Algebra & Number Theory 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 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 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Journal of Combinatorial Theory. Series A 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the Moscow Mathematical Society 1 Publicacions Matemàtiques 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Vietnam Journal of Mathematics 1 Communications in Contemporary Mathematics 1 Portugaliae Mathematica. Nova Série 1 Journal of Noncommutative Geometry ...and 10 more Serials all top 5 Cited in 28 Fields 709 Commutative algebra (13-XX) 286 Associative rings and algebras (16-XX) 222 Category theory; homological algebra (18-XX) 162 Algebraic geometry (14-XX) 83 Algebraic topology (55-XX) 43 Group theory and generalizations (20-XX) 28 Nonassociative rings and algebras (17-XX) 26 Combinatorics (05-XX) 25 Manifolds and cell complexes (57-XX) 13 Convex and discrete geometry (52-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Several complex variables and analytic spaces (32-XX) 9 \(K\)-theory (19-XX) 7 Differential geometry (53-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-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 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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