On 1-semiregular and 2-semiregular rings
Commutative Algebra
2022-03-08 v1 Rings and Algebras
Abstract
In this paper, we are mainly interested in the two questions "which are the commutative rings on which every finitely presented modules is [Formula: see text]-periodic (respectively, [Formula: see text]-periodic)?". It is proved that these kinds of rings are particular cases of semiregular rings. So, we call them [Formula: see text]-semiregular and [Formula: see text]-semiregular rings, respectively. We establish characterizations of these rings in terms of various classical notions and we provide several examples of such rings.
Cite
@article{arxiv.2203.03262,
title = {On 1-semiregular and 2-semiregular rings},
author = {Driss Bennis and François Couchot},
journal= {arXiv preprint arXiv:2203.03262},
year = {2022}
}