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On Sequentially Cohen-Macaulay Modules

Commutative Algebra 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/0507202,
  title  = {On Sequentially Cohen-Macaulay Modules},
  author = {Nguyen Tu Cuong and Doan Trung Cuong},
  journal= {arXiv preprint arXiv:math/0507202},
  year   = {2007}
}

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13 pages