New Results on EP Elements in Rings with Involution

被引：1
|
作者：
Wang, Long [1 ]
Mosic, Dijana [2 ]
Gao, Yuefeng [3 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
[2] Univ Nis, Fac Sci & Math, Nish, Serbia
[3] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2022年 / 29卷 / 01期
基金：
中国博士后科学基金;
关键词：
Moore-Penrose inverse; group inverse; core inverse; EP element; (*)-DMP element;
D O I：
10.1142/S1005386722000049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly give characterizations of EP elements in terms of equations. In addition, a related notion named a central EP element is defined and investigated. Finally, we focus on characterizations of a generalized EP element, i.e., (*)-DMP element.
引用
收藏
页码：39 / 52
页数：14
相关论文
共 50 条
  • [1] EP Elements in Rings with Involution
    Sanzhang Xu
    Jianlong Chen
    Julio Benítez
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 3409 - 3426
  • [2] EP Elements in Rings with Involution
    Xu, Sanzhang
    Chen, Jianlong
    Benitez, Julio
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (06) : 3409 - 3426
  • [3] Further results on partial isometries and EP elements in rings with involution
    Mosic, Dijana
    Djordjevic, Dragan S.
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 460 - 465
  • [4] Characterizations of EP Elements in Rings with Involution
    Zhou, Hainan
    Li, Anqi
    Wei, Junchao
    FILOMAT, 2022, 36 (17) : 5813 - 5820
  • [5] Strongly EP elements in rings with involution
    Zhao, Dandan
    Wei, Junchao
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (05)
  • [6] Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
    Hu, Tangjie
    Li, Jiaqi
    Wang, Qiuyu
    Wei, Junchao
    GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (03) : 445 - 452
  • [7] PARTIAL ISOMETRIES AND EP ELEMENTS IN RINGS WITH INVOLUTION
    Mosic, Dijana
    Djordjevic, Dragan S.
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2009, 18 : 761 - 772
  • [8] EP Elements and the Solutions of Equation in Rings with Involution
    Zhao, Ruju
    Yao, Hua
    Wei, Junchao
    FILOMAT, 2018, 32 (13) : 4537 - 4542
  • [9] ON EP ELEMENTS, NORMAL ELEMENTS AND PARTIAL ISOMETRIES IN RINGS WITH INVOLUTION
    Chen, Weixing
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2012, 23 : 553 - 561
  • [10] ONE-SIDED EP ELEMENTS IN RINGS WITH INVOLUTION
    Wu, Cang
    Chen, Jianlong
    Chen, Yu
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2024, 67 (02): : 517 - 528
12345