Small homomorphisms of local rings

DOI10.1016/0021-8693(78)90163-1zbMath0395.13005OpenAlexW2059460865MaRDI QIDQ1252898

Luchezar L. Avramov

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90163-1

zbMATH Keywords

Krull DimensionPoincare SeriesLocal Noetherian RingsMassey ProductsSmall Homomorphisms of Local Rings

Mathematics Subject Classification ID

Related Items (42)

Infinite monomial resolutions ⋮ The Poincaré series of every finitely generated module over a codimension four almost complete intersection is a rational function ⋮ Stable cohomology over local rings ⋮ A structure theorem for Harish-Chandra bimodules via coinvariants and Golod rings ⋮ Applications of Differential Graded Algebra Techniques in Commutative Algebra ⋮ Free resolutions and change of rings ⋮ Conditions for the Yoneda algebra of a local ring to be generated in low degrees ⋮ The Poincaré series of the module of derivations of affine monomial curves ⋮ Poincaré series of modules over local rings of small embedding codepth or small linking number ⋮ Resolutions mod i and golod pairs ⋮ On the homotopy Lie algebra of an arrangement ⋮ Algebra structures on some canonical resolutions ⋮ Homological Invariants of Powers of an Ideal ⋮ A cohomological study of local rings of embedding codepth 3 ⋮ The homotopy Lie algebra of a Tor-independent tensor product ⋮ Ideals associated to two sequences and a matrix ⋮ DETECTING KOSZULNESS AND RELATED HOMOLOGICAL PROPERTIES FROM THE ALGEBRA STRUCTURE OF KOSZUL HOMOLOGY ⋮ Free Lie Subalgebras of the Cohomology of Local Rings ⋮ The Tor algebra of trimmings of Gorenstein ideals ⋮ Gorenstein algebras of codimension four and characteristic two ⋮ On the linearity defect of the residue field ⋮ On the structure of free resolutions of length 3 ⋮ Resolutions of length four which are differential graded algebras ⋮ Powers of sums and their homological invariants ⋮ Infinitesimal thickenings of Morava \(K\)-theories ⋮ Some homological properties of ``high Veronese subrings ⋮ Some criteria for detecting large homomorphisms of local rings ⋮ Homological properties of powers of the maximal ideal of a local ring ⋮ André–Quillen homology of algebra retracts ⋮ The Golod property for powers of ideals and Koszul ideals ⋮ Golodideale der Gestalt \(\mathfrak a\cap\mathfrak b\) ⋮ Séries de Poincaré et modules inertes. (Poincaré series and inert modules) ⋮ Hilbert-Samuel functions of modules over Cohen-Macaulay rings ⋮ ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT ⋮ A note on resolutions mod i ⋮ Classification of the Tor-algebras of codimension four Gorenstein local rings ⋮ Poincaré series of short Artinian rings ⋮ The Poincaré series of a codimension four Gorenstein ring is rational ⋮ Finitely presented graded Lie algebras and homomorphisms of local rings ⋮ Local rings over which all modules have rational Poincaré series ⋮ Construction of modules with finite homological dimensions ⋮ Modules and Golod homomorphisms

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