VANISHING OF (CO)HOMOLOGY OVER COMMUTATIVE RINGS

DOI10.1081/AGB-100002155zbMath1087.13508OpenAlexW2068950881MaRDI QIDQ2755356

David A. Jorgensen

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1081/agb-100002155

zbMATH Keywords

TorExtvanishingrigidity of Torfinite complete intersection dimension

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items

Nonvanishing cohomology and classes of Gorenstein rings, 𝐿-dimension for modules over a local ring, Maximal Cohen-Macaulay tensor products, Necessary conditions for the depth formula over Cohen-Macaulay local rings, On the vanishing of homology for modules of finite complete intersection dimension, On invariants of complete intersections, Vanishing of Tor, and why we care about it, Vanishing of Tate homology and depth formulas over local rings, Asymptotic behavior of Ext functors for modules of finite complete intersection dimension, On the vanishing of (co)homology over local rings, On Ring Structures Under Strong Cup Products, Bounds on depth of tensor products of modules, Symmetry theorems for Ext vanishing

Cites Work

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• Modules of finite virtual projective dimension
• Complexity and Tor on a complete intersection
• Complete intersection dimension
• A counterexample to the rigidity conjecture for rings
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Remarks on a depth formula, a grade inequality and a conjecture of Auslander