A Bezout ring of stable range 2 which has square stable range 1
Rings and Algebras
2018-12-24 v1 Commutative Algebra
K-Theory and Homology
Abstract
In this paper we introduced the concept of a ring of stable range 2 which has square stable range 1. We proved that a Hermitian ring which has (right) square stable range 1 is an elementary divisor ring if and only if is a duo ring of neat range 1. And we proved that a commutative Hermitian ring is a Toeplitz ring if and only if is a ring of (right) square range 1.
Keywords
Cite
@article{arxiv.1812.08819,
title = {A Bezout ring of stable range 2 which has square stable range 1},
author = {Bohdan Zabavsky and Oleh Romaniv},
journal= {arXiv preprint arXiv:1812.08819},
year = {2018}
}