Normal Sally modules of rank one
Commutative Algebra
2017-07-06 v3
Abstract
In this paper, we explore the structure of the normal Sally modules of rank one with respect to an -primary ideal in a Nagata reduced local ring which is not necessary Cohen-Macaulay. As an application of this result, when the base ring is Cohen-Macaulay analytically unramified, the extremal bound on the first normal Hilbert coefficient leads to the Cohen-Macaulayness of the associated graded rings with respect to a normal filtration.
Cite
@article{arxiv.1506.05210,
title = {Normal Sally modules of rank one},
author = {Phuong Tran Thi},
journal= {arXiv preprint arXiv:1506.05210},
year = {2017}
}