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Index of reducibility of distinguished parameter ideals and sequentially Cohen-Macaulay modules


Author: Hoang Le Truong
Journal: Proc. Amer. Math. Soc. 141 (2013), 1971-1978
MSC (2010): Primary 13D45; Secondary 13H10
DOI: https://doi.org/10.1090/S0002-9939-2013-11515-7
Published electronically: January 25, 2013
MathSciNet review: 3034424
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Abstract: It is shown that every sequentially Cohen-Macaulay module eventually has constant index of reducibility for distinguished parameter ideals.


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Hoang Le Truong
Affiliation: Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Viet Nam
Email: hltruong@math.ac.vn

DOI: https://doi.org/10.1090/S0002-9939-2013-11515-7
Keywords: Reducibility, sequentially Cohen-Macaulay module, dimension filtration, distinguished system of parameters
Received by editor(s): August 27, 2011
Received by editor(s) in revised form: October 4, 2011
Published electronically: January 25, 2013
Communicated by: Irena Peeva
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.