Modules and Golod homomorphisms

DOI10.1016/0022-4049(85)90017-9zbMath0585.13005OpenAlexW2082760884MaRDI QIDQ1071061

Gerson Levin

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(85)90017-9

zbMATH Keywords

Poincaré serieslocal ringf-Golod module

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local rings and semilocal rings (13H99) Torsion modules and ideals in commutative rings (13C12)

Related Items (14)

Trivial Extensions Defined by Coherent-like Conditions ⋮ Free resolutions and change of rings ⋮ Conditions for the Yoneda algebra of a local ring to be generated in low degrees ⋮ Resolutions mod i and golod pairs ⋮ On graded coherent-like properties in trivial ring extensions ⋮ Three-dimensional manifolds, skew-Gorenstein rings and their cohomology. ⋮ Homological criteria for minimal multiplicity ⋮ Sufficient Condition to Resolve Costa's First Conjecture ⋮ Ascent and descent of the Golod property along algebra retracts ⋮ Trivial extensions subject to semi-regularity and semi-coherence ⋮ A criterion for modules over Gorenstein local rings to have rational Poincaré series ⋮ A note on resolutions mod i ⋮ Koszul modules ⋮ Golod pair and golod invariant

Cites Work

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• Local rings and Golod homomorphisms
• Algebra retracts and Poincaré-series
• Small homomorphisms of local rings
• The Poincaré series of a local ring
• Massey operations and the Poincaré series of certain local rings
• Obstructions to the Existence of Multiplicative Structures on Minimal Free Resolutions
• On the theory and applications of differential torsion products

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