Cohen-Macaulayness with respect to Serre classes

Abstract

Let $R$ be a commutative Noetherian ring. The notion of regular sequences with respect to a Serre class of $R$-modules is introduced and some of their essential properties are given. Then in the local case, we explore a theory of Cohen-Macaulayness with respect to Serre classes.

18 pages

References in corpus (1)

• Asymptotic stability of certain sets of associated prime ideals of local cohomology modules