Commutative rings whose proper ideals are direct sum of cyclically presented modules
Commutative Algebra
2022-08-18 v1
Abstract
A famous result due to I. M. Isaacs states that if a commutative ring has the property that every prime ideal is principal, then every ideal of is principal. This motivates ring theorists to study commutative rings for which every ideal is a direct sum of cyclically presented modules. In this paper, we study commutative rings whose ideals are direct sum of cyclically presented modules.
Cite
@article{arxiv.2208.07942,
title = {Commutative rings whose proper ideals are direct sum of cyclically presented modules},
author = {R. Nikandish and M. J. Nikmehr and A. Yassine},
journal= {arXiv preprint arXiv:2208.07942},
year = {2022}
}