A Bezout ring with nonzero principal Jacobson radical

In this paper, we study a commutative Bezout domain with nonzero Jacobson radical being a principal ideal. It has been proved that such a Bezout domain is a ring of the stable range 1. As a result, we have obtained that such a Bezout domain is a ring over which any matrix can be reduced to a canonic...

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Bibliographic Details
Main Authors: A.I. Gatalevych, A.A. Dmytruk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2022-04-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/4765