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
  • [41] Jordan algebras at Jordan elements of semiprime rings with involution
    Brox, Jose
    Garcia, Esther
    Gomez Lozano, Miguel
    JOURNAL OF ALGEBRA, 2016, 468 : 155 - 181
  • [42] LIE DERIVATIONS ON SKEW ELEMENTS OF SIMPLE RINGS WITH INVOLUTION
    JACOBS, DR
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (04): : A433 - A433
  • [43] Characterizations of m-EP elements in rings
    Zou, Honglin
    Chen, Jianlong
    Patricio, Pedro
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (06): : 1244 - 1256
  • [44] Core and strongly core orthogonal elements in rings with involution
    Liu, Ying
    Liu, Xiaoji
    Jin, Hongwei
    FILOMAT, 2024, 38 (24) : 8411 - 8432
  • [45] FURTHER RESULTS ON GENERALIZED INVERSES IN RINGS WITH INVOLUTION
    Castro-Gonzalez, N.
    Chen, Jianlong
    Wang, Long
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2015, 30 : 118 - 134
  • [47] A Description of Ad-nilpotent Elements in Semiprime Rings with Involution
    Jose Brox
    Esther García
    Miguel Gómez Lozano
    Rubén Muñoz Alcázar
    Guillermo Vera de Salas
    Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 2577 - 2602
  • [48] A Description of Ad-nilpotent Elements in Semiprime Rings with Involution
    Brox, Jose
    Garcia, Esther
    Lozano, Miguel Gomez
    Alcazar, Ruben Munoz
    de Salas, Guillermo Vera
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (04) : 2577 - 2602
  • [49] RINGS WITH INVOLUTION ALL OF WHOSE SYMMETRIC ELEMENTS ARE NILPOTENT OR REGULAR
    CHACRON, J
    CHACRON, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 37 (02) : 397 - 402
  • [50] LIE DERIVATIONS ON SKEW ELEMENTS IN PRIME-RINGS WITH INVOLUTION
    KILLAM, E
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1987, 30 (03): : 344 - 350