On Modules with Reducible Complexity

Olgur Celikbas, Arash Sadeghi, Naoki Endo

Research output: Contribution to journalArticle

Abstract

In this paper we generalize a result, concerning a depth equality over local rings, proved independently by Araya and Yoshino, and Iyengar. Our result exploits complexity, a concept which was initially defined by Alperin for finitely generated modules over group algebras, introduced and studied in local algebra by Avramov, and subsequently further developed by Bergh.

Original languageEnglish
JournalAlgebras and Representation Theory
DOIs
Publication statusPublished - 2019 Jan 1

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Keywords

  • Auslander transpose
  • Complexity
  • Depth formula
  • Reducible complexity
  • Vanishing of Ext and Tor

ASJC Scopus subject areas

  • Mathematics(all)

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