Massey operations and the Poincaré series of certain local rings

DOI10.1016/0021-8693(72)90143-3zbMath0243.13015OpenAlexW2036016067MaRDI QIDQ2554372

Tor H. Gulliksen

Publication date: 1972

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

Full work available at URL: http://hdl.handle.net/10852/45414

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local rings and semilocal rings (13H99) Massey products (55S30)

Related Items (28)

Poincaré series of compressed local Artinian rings with odd top socle degree ⋮ The Golod property of powers of the maximal ideal of a local ring ⋮ Resolutions of monomial almost complete intersections and generalizations ⋮ Chow rings of matroids are Koszul ⋮ A cohomological study of local rings of embedding codepth 3 ⋮ Short Koszul modules ⋮ Three-dimensional manifolds, skew-Gorenstein rings and their cohomology. ⋮ Quadratic Gorenstein algebras with many surprising properties ⋮ On the structure of free resolutions of length 3 ⋮ Poincaré series of modules over compressed Gorenstein local rings ⋮ A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers ⋮ Quadratic Gorenstein rings and the Koszul property I ⋮ The Converse to a Theorem of Sharp on Gorenstein Modules ⋮ Nonunimodality of Graded Gorenstein Artin Algebras ⋮ Minimal injective resolutions with applications to dualizing modules and Gorenstein modules ⋮ Local rings and Golod homomorphisms ⋮ The global homological dimensions of trivial extensions of rings ⋮ Algebra retracts and Poincaré-series ⋮ The Golod property for powers of ideals and Koszul ideals ⋮ Small homomorphisms of local rings ⋮ Bass Series of Local Ring Homomorphisms of Finite Flat Dimension ⋮ Factoring out the socle of a Gorenstein ring ⋮ On Ext-indices of ring extensions ⋮ Good and bad Koszul algebras and their Hochschild homology ⋮ Linear equations over noncommutative graded rings. ⋮ Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos ⋮ The Poincaré series of a codimension four Gorenstein ring is rational ⋮ Modules and Golod homomorphisms

Cites Work

• Unnamed Item
• Homology of Noetherian rings and local rings
• A homological investigation of a certain residual ideal
• Über die Bettizahlen lokaler Ringe
• A proof of the existence of minimal R-algebra resolutions
• Über homologische Invarianten lokaler Ringe
• The Poincaré series of a local ring
• On the ubiquity of Gorenstein rings

This page was built for publication: Massey operations and the Poincaré series of certain local rings