Vanishing of Tate homology and depth formulas over local rings

Lars Winther Christensen, David A. Jorgensen

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

Auslander's depth formula for pairs of Tor-independent modules over a regular local ring, depth(M⊗RN)=depthM+depthN-depthR, has been generalized in several directions; most significantly it has been shown to hold for pairs of Tor-independent modules over complete intersection rings.In this paper we establish a depth formula that holds for every pair of Tate Tor-independent modules over a Gorenstein local ring. It subsumes previous generalizations of Auslander's formula and yields new results on vanishing of cohomology over certain Gorenstein rings.

Original languageEnglish
Pages (from-to)464-481
Number of pages18
JournalJournal of Pure and Applied Algebra
Volume219
Issue number3
DOIs
StatePublished - Mar 1 2015

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