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
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
  • [21] Properties of core-EP order in rings with involution
    Gregor Dolinar
    Bojan Kuzma
    Janko Marovt
    Burcu Ungor
    Frontiers of Mathematics in China, 2019, 14 : 715 - 736
  • [22] Reflexive–EP Elements in Rings
    Dijana Mosić
    Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 655 - 664
  • [23] On Characterizations of Special Elements in Rings with Involution
    Sanzhang XU
    Jianlong CHEN
    Dijana MOSIC
    ChineseAnnalsofMathematics,SeriesB, 2019, (01) : 65 - 78
  • [24] On Characterizations of Special Elements in Rings with Involution
    Xu, Sanzhang
    Chen, Jianlong
    Mosic, Dijana
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2019, 40 (01) : 65 - 78
  • [25] INVERTIBLE AND REGULAR ELEMENTS IN RINGS WITH INVOLUTION
    HERSTEIN, IN
    MONTGOME.S
    JOURNAL OF ALGEBRA, 1973, 25 (02) : 390 - 400
  • [26] COMMUTATION WITH SKEW ELEMENTS IN RINGS WITH INVOLUTION
    LANSKI, C
    PACIFIC JOURNAL OF MATHEMATICS, 1979, 83 (02) : 393 - 399
  • [27] Characterizations of normal elements in rings with involution
    Y. Qu
    J. Wei
    H. Yao
    Acta Mathematica Hungarica, 2018, 156 : 459 - 464
  • [28] On Characterizations of Special Elements in Rings with Involution
    Sanzhang Xu
    Jianlong Chen
    Dijana Mosić
    Chinese Annals of Mathematics, Series B, 2019, 40 : 65 - 78
  • [29] Characterizations of normal elements in rings with involution
    Qu, Y.
    Wei, J.
    Yao, H.
    ACTA MATHEMATICA HUNGARICA, 2018, 156 (02) : 459 - 464
  • [30] Core-EP orthogonal elements in a ring with involution
    Stanimirovic, Olivera
    Mosic, Dijana
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025,