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arxiv: math/0507202 · v1 · submitted 2005-07-11 · 🧮 math.AC

On Sequentially Cohen-Macaulay Modules

classification 🧮 math.AC
keywords cohen-macaulaymodulessequentiallycharacterizationscohen-macaulaynessdimensionembeddingexamined
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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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