New York Journal of Mathematics
Volume 9 (2003) 295-302


Huanyin Chen and Miaosen Chen

On unit-regular ideals

Published: November 19, 2003
Keywords: unit-regular ideal, diagonal reduction, pseudo-similarity
Subject: 16E50, 16U99

In this paper we introduce the notion of unit-regular ideals for unital rings, which is a natural generalization of unit-regular rings. It is shown that every square matrix over unit-regular ideals admits a diagonal reduction. We also prove that a regular ideal of a unital ring is unit-regular if and only if pseudo-similarity via the ideal is similarity.

Author information

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, People's Republic of China