Eventually index of reducibility on sequentially Cohen-Macaulay modules
Commutative Algebra
2015-04-24 v1
Abstract
It is shown that a module is sequentially Cohen-Macaulay if and only if the index of reducibility for distinguished parameter ideals are eventually constant with special value. As corollaries to the main theorem we given to characterize the Gorensteinness, Cohen-Macaulayness of local rings in term of eventually index of reducibility for distinguished parameter ideals.
Cite
@article{arxiv.1504.06041,
title = {Eventually index of reducibility on sequentially Cohen-Macaulay modules},
author = {Hoang Le Truong},
journal= {arXiv preprint arXiv:1504.06041},
year = {2015}
}