Decomposition of integrally closed ideals in Arf rings
Commutative Algebra
2022-02-07 v2
Abstract
This study investigates the structure of Arf rings. From the perspective of ring extensions, a decomposition of integrally closed ideals is given. Using this, we present a kind of their prime ideal decomposition in Arf rings, and determine their structure in the case where both R and the integral closure of R are local rings.
Keywords
Cite
@article{arxiv.2104.14122,
title = {Decomposition of integrally closed ideals in Arf rings},
author = {Ryotaro Isobe},
journal= {arXiv preprint arXiv:2104.14122},
year = {2022}
}