On Sequentially Cohen-Macaulay Modules

Details On Sequentially Cohen-Macaulay Modules On Sequentially Cohen-Macaulay Modules

2005-07-11

arxiv.org/abs/math/0507202v1

Mathematics

Commutative Algebra

13 pages

Scientific paper

In this paper we present characterizations of sequentially Cohen-Macaulay
modules in terms of systems of parameters, which are generalizations of
well-known results on Cohen-Macaulay and generalized Cohen-Macaulay modules.
The sequentially Cohen-Macaulayness of Stanley-Reisner rings of small embedding
dimension are also examined.

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