On pseudo-absorbing primary multiplication modules over pullback rings
Commutative Algebra
2022-08-18 v1
Abstract
A famous result due to L. S. Levy provides a classification of all finitely generated indecomposable modules over Dedekind-like rings. This motivates us to outline an approach to the classification of indecomposable pseudo-absorbing primary multiplication modules with finite-dimensional top over certain kinds of pullback rings. In this paper, we give a complete classification, up to isomorphism, of all indecomposable pseudo-absorbing primary multiplication modules with finite-dimensional top over a pullback of two valuation domains with the same residue field. We also find a connection between pseudo-absorbing primary multiplication modules and pure-injective modules over such domains.
Cite
@article{arxiv.2208.08286,
title = {On pseudo-absorbing primary multiplication modules over pullback rings},
author = {M. J. Nikmehr and R. Nikandish and A. Yassine},
journal= {arXiv preprint arXiv:2208.08286},
year = {2022}
}