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《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (3): 25-32.doi: 10.6040/j.issn.1671-9352.0.2022.262

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对合环上核EP逆的广义Jacobson引理和广义Cline公式

霍慧敏,宋贤梅*,李明珠   

  1. 安徽师范大学数学与统计学院, 安徽 芜湖 241002
  • 发布日期:2023-03-02
  • 作者简介:霍慧敏(1997— ),女,硕士研究生,研究方向为代数学. E-mail:huohuimin1997@163.com*通信作者简介:宋贤梅(1977— ),女,副教授,研究方向为代数学、代数编码. E-mail:xianmeisongahnu@163.com
  • 基金资助:
    安徽省自然科学基金资助项目(2008085MA06);安徽省教育厅重点研究项目(KJ2019A0488)

Jacobsons lemma and Clines formula for core-EP inverse in a ring with involution

HUO Hui-min, SONG Xian-mei*, LI Ming-zhu   

  1. Department of Mathematics, Anhui Normal University, Wuhu 241002, Anhui, China
  • Published:2023-03-02

摘要: 研究了核EP逆的Jacobson引理及Cline公式,给出了核EP可逆元在条件acd=dbd,dba=aca下的广义Jacobson引理及广义Cline公式成立的等价条件。丰富了核EP 可逆元的部分结果。

关键词: 核EP逆, 广义Drazin逆, Jacobson引理, Cline公式

Abstract: The Jacobsons lemma and Clines formula of core-EP inverse are studied, and the equivalent conditions for the establishment of generalized Jacobsons lemma and generalized Clines formula under the conditions acd=dbd and dba=aca are given, which enrich partial results of core-EP reversible elements.

Key words: core-EP inverse, generalized Drazin inverse, Jacobsons lemma, Clines formula

中图分类号: 

  • O153
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[1] 王 桥,刘晓冀* . Banach空间中算子广义Drazin逆的刻画及扰动[J]. J4, 2008, 43(8): 42-45 .
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