Necessary conditions for the depth formula over Cohen-Macaulay local rings

DOI10.1016/j.jpaa.2013.07.002zbMath1282.13030arXiv1008.2573OpenAlexW2962946116MaRDI QIDQ392449

Hailong Dao, Olgur Celikbas

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1008.2573

Mathematics Subject Classification ID

Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (11)

Vanishing of (co)homology of Burch and related submodules ⋮ Vanishing of Ext and Tor over fiber products ⋮ Semidualizing modules and rings of invariants ⋮ Auslander-Reiten conjecture and Auslander-Reiten duality ⋮ Huneke-Wiegand conjecture and change of rings ⋮ Vanishing of Tate homology and depth formulas over local rings ⋮ On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand ⋮ Vanishing of relative homology and depth of tensor products ⋮ Bounds on depth of tensor products of modules ⋮ On the vanishing of self extensions over Cohen-Macaulay local rings ⋮ Homological dimensions of rigid modules

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