Rings of simple range 2
Commutative Algebra
2024-07-04 v1 Rings and Algebras
Abstract
We introduce the concept of rings of simple range 2. Based on this concept, we build a theory diagonal reduction of matrices over Bezout domain. In particular we show that invariant Bezout domain is an elementary divisor ring if and only if it is a rings of simple range 2.
Keywords
Cite
@article{arxiv.2407.03196,
title = {Rings of simple range 2},
author = {Bohdan Zabavsky and Oleh Romaniv and Andrij Sagan},
journal= {arXiv preprint arXiv:2407.03196},
year = {2024}
}