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Koszul Complexes, Depth and Codepth

  • Peter Schenzel
  • Anne-Marie Simon
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

The notions of Ext-depth and Tor-codepth with respect to an ideal \(\mathfrak {a}\) of a commutative ring R were introduced and investigated by Strooker for R-modules. He also proved (see Strooker (Homological questions in local algebra, Cambridge University Press, Cambridge, 1990)[1, 6.1.6, 6.1.7]) that these can be computed by the use of a Koszul complex when the ideal \(\mathfrak {a}\) is finitely generated.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institut für InformatikMartin-Luther-Universität Halle-WittenbergHalleGermany
  2. 2.Service de Geometrie DifferentielleUniversité Libre de BruxellesBrusselsBelgium

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