On the arithmetic of stable domains
Commutative Algebra
2021-05-11 v2
Abstract
A commutative ring is stable if every non-zero ideal of is projective over its ring of endomorphisms. Motivated by a paper of Bass in the 1960s, stable rings have received wide attention in the literature ever since then. Much is known on the algebraic structure of stable rings and on the relationship of stability with other algebraic properties such as divisoriality and the -generator property. In the present paper we study the arithmetic of stable integral domains, with a focus on arithmetic properties of semigroups of ideals of stable orders in Dedekind domains.
Cite
@article{arxiv.2007.05574,
title = {On the arithmetic of stable domains},
author = {Aqsa Bashir and Alfred Geroldinger and Andreas Reinhart},
journal= {arXiv preprint arXiv:2007.05574},
year = {2021}
}
Comments
This paper has been accepted for publication in the Communications in Algebra