On Sequentially Cohen-Macaulay Modules
Nguyen Tu Cuong, Doan Trung Cuong
TL;DR
This paper characterizes sequentially Cohen-Macaulay modules using systems of parameters and explores their properties in Stanley-Reisner rings with small embedding dimensions.
Contribution
It provides new characterizations of sequentially Cohen-Macaulay modules and examines their properties in specific algebraic structures.
Findings
Characterizations of sequentially Cohen-Macaulay modules via systems of parameters
Analysis of Stanley-Reisner rings with small embedding dimension
Extension of known results on Cohen-Macaulay modules
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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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Advanced Topics in Algebra