Open Access
October 2007 On sequentially Cohen-Macaulay modules
Nguyen Tu Cuong, Doan Trung Cuong
Kodai Math. J. 30(3): 409-428 (October 2007). DOI: 10.2996/kmj/1193924944


In this paper we introduce the notion of good systems of parameters with respect to certain increasing filtration of submodules of a Noetherian module in order to prove several characterizations of sequentially Cohen-Macaulay modules in terms of good systems of parameters. The sequential Cohen-Macaulayness of Stanley-Reisner rings of small embedding dimension are also examined.


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Nguyen Tu Cuong. Doan Trung Cuong. "On sequentially Cohen-Macaulay modules." Kodai Math. J. 30 (3) 409 - 428, October 2007.


Published: October 2007
First available in Project Euclid: 1 November 2007

zbMATH: 1139.13011
MathSciNet: MR2372128
Digital Object Identifier: 10.2996/kmj/1193924944

Rights: Copyright © 2007 Tokyo Institute of Technology, Department of Mathematics

Vol.30 • No. 3 • October 2007
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