Some remarks on one-sided regularity

doi:10.1007/s11464-018-0711-2

Front. Math. China

2018, Vol. 13

Issue (4) : 833-847 https://doi.org/10.1007/s11464-018-0711-2

RESEARCH ARTICLE

Some remarks on one-sided regularity

Tai Keun KWAK¹(

), Yang LEE², Young Joo SEO³

¹. Department of Mathematics, Daejin University, Pocheon 11159, Korea
². Institute of Basic Science, Daejin University, Pocheon 11159, Korea
³. Department of Mathematics, Hanyang University, Seoul 04763, Korea

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Abstract

A ring is said to be right (resp., left) regular-duo if every right (resp., left) regular element is regular. The structure of one-sided regular elements is studied in various kinds of rings, especially, upper triangular matrix rings over one-sided Ore domains. We study the structure of (one-sided) regular-duo rings, and the relations between one-sided regular-duo rings and related ring theoretic properties.

Keywords right (left) regular element right (left) regular-duo ring upper triangular matrix ring right (left) Ore domain

Corresponding Author(s): Tai Keun KWAK

Issue Date: 14 August 2018

Cite this article:

Tai Keun KWAK,Yang LEE,Young Joo SEO. Some remarks on one-sided regularity[J]. Front. Math. China, 2018, 13(4): 833-847.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-018-0711-2
https://academic.hep.com.cn/fmc/EN/Y2018/V13/I4/833

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