华东师范大学学报（自然科学版） ›› 2024, Vol. 2024 ›› Issue (2): 30-32.doi: 10.3969/j.issn.1000-5641.2024.02.004

• 数学 • 上一篇    下一篇

关于*r-clean环

覃健(), 应志领*(), 周华   

  1. 1. 南京邮电大学 理学院, 南京　210023
  • 收稿日期:2023-03-21 出版日期:2024-03-25 发布日期:2024-03-18
  • 通讯作者: 应志领 E-mail:1318499958@qq.com;yingzl@njupt.edu.cn
  • 基金资助:
    国家自然科学基金(12071181)

On *r-clean rings

Jian QIN(), Zhiling YING*(), Hua ZHOU   

  1. 1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing　210023, China
  • Received:2023-03-21 Online:2024-03-25 Published:2024-03-18
  • Contact: Zhiling YING E-mail:1318499958@qq.com;yingzl@njupt.edu.cn

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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.

关键词: *r-clean环, *-clean环, *-正则环

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.

Key words: *r-clean ring, *-clean ring, *-regular ring

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