Diagonal reduction of matrices over commutative semihereditary Bezout rings
Rings and Algebras
2018-03-22 v1 Commutative Algebra
Abstract
It is proven that every commutative semihereditary Bezout ring in which any regular element is Gelfand (adequate), is an elementary divisor ring.
Keywords
Cite
@article{arxiv.1803.07627,
title = {Diagonal reduction of matrices over commutative semihereditary Bezout rings},
author = {Bohdan Zabavsky and Andry Gatalevych},
journal= {arXiv preprint arXiv:1803.07627},
year = {2018}
}