Right core inverse and the related generalized inverses

被引：15
作者：
Wang, Long [1 ]
Mosic, Dijana [2 ]
Gao, Yuefeng [3 ]
机构：
[1] Yangzhou Univ, Sch Math, Yangzhou, Jiangsu, Peoples R China
[2] Univ Nis, Fac Sci & Math, Nish, Serbia
[3] Univ Shanghai Sci & Technol, Coll Sci, Shanghai, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 11期
关键词：
Core inverse; pseudo core inverse; ring; right core inverse; RINGS;
D O I：
10.1080/00927872.2019.1596275
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we investigate some properties of right core inverses. Particularly, new characterizations and expressions for right core inverses are given, using projections and {1, 3}-inverses. Also, we introduced and investigated a new generalized right core inverse which is called right pseudo core inverse. Then, we provide the relation schema of (one-sided) core inverses, (one-sided) pseudo core inverses, and EP elements.
引用
收藏
页码：4749 / 4762
页数：14
相关论文
共 14 条
  • [1] Core inverse of matrices
    Baksalary, Oskar Maria
    Trenkler, Goetz
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (06) : 681 - 697
  • [2] The One-Sided Inverse Along an Element in Semigroups and Rings
    Chen, Jianlong
    Zou, Honglin
    Zhu, Huihui
    Patricio, Pedro
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
  • [3] Left and right generalized inverses
    Drazin, Michael P.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 510 : 64 - 78
  • [4] A class of outer generalized inverses
    Drazin, Michael P.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 1909 - 1923
  • [5] Drazin MP., 1958, AM MATH MONTHLY, V65, P506, DOI [10.1080/00029890.1958.11991949, DOI 10.2307/2308576.416]
  • [6] Pseudo core inverses in rings with involution
    Gao, Yuefeng
    Chen, Jianlong
    [J]. COMMUNICATIONS IN ALGEBRA, 2018, 46 (01) : 38 - 50
  • [7] Lam T. Y, 2001, Graduate Text in Mathematics, V131
  • [8] Characterizations of core and dual core inverses in rings with involution
    Li, Tingting
    Chen, Jianlong
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (04) : 717 - 730
  • [9] On a weighted core inverse in a ring with involution
    Mosic, Dijana
    Deng, Chunyuan
    Ma, Haifeng
    [J]. COMMUNICATIONS IN ALGEBRA, 2018, 46 (06) : 2332 - 2345
  • [10] PENROSE R., 1955, P CAMBRIDGE PHILOS S, V51, P406, DOI 10.1017/S0305004100030401
12