Cohen-Macaulayness with respect to Serre classes

Details Cohen-Macaulayness with respect to Serre classes Cohen-Macaulayness with respect to Serre classes

2008-04-30

arxiv.org/abs/0804.4795v1

Mathematics

Commutative Algebra

18 pages

Scientific paper

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.

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