数学

关于*r-clean环

  • 覃健 ,
  • 应志领 ,
  • 周华
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  • 1. 南京邮电大学 理学院, 南京 210023

收稿日期: 2023-03-21

  网络出版日期: 2024-03-18

基金资助

国家自然科学基金(12071181)

On *r-clean rings

  • Jian QIN ,
  • Zhiling YING ,
  • Hua ZHOU
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  • 1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Received date: 2023-03-21

  Online published: 2024-03-18

摘要

称对合环为*r-clean环是指环中任一元素都可表示为投射子和*-正则元的和. 研究了该环的一些扩张性质, 并给出了*-阿贝尔的*r-clean环中元素的刻画.

本文引用格式

覃健 , 应志领 , 周华 . 关于*r-clean环[J]. 华东师范大学学报(自然科学版), 2024 , 2024(2) : 30 -32 . DOI: 10.3969/j.issn.1000-5641.2024.02.004

Abstract

An involution ring is called a *r-clean ring if every element is the sum of a projection and a *-regular element. Some extensions of *r-clean rings are discussed, and a characterization of the element in a *-abelian *r-clean ring is given.

参考文献

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