On Ratliff-Rush closure of modules
Commutative Algebra
2019-06-19 v2
Abstract
In this paper, we introduce the notion of Ratliff-Rush closure of modules and explore whether the condition of the Ratliff-Rush closure coincides with the integral closure. The main result characterizes the condition in terms of the normality of the projective scheme of the Rees algebra, which generalizes the result of S. Goto and N. Matsuoka. In conclusion, we shall give a criterion for the Buchsbaum Rees algebras.
Keywords
Cite
@article{arxiv.1804.00940,
title = {On Ratliff-Rush closure of modules},
author = {Naoki Endo},
journal= {arXiv preprint arXiv:1804.00940},
year = {2019}
}
Comments
15 pages