Reverse order laws and absorption laws of the weak group inverse

被引：0
|
作者：
Zhou, Mengmeng [1 ]
机构：
[1] Nanjing Xiaozhuang Univ, Coll Informat Engn, Nanjing 211171, Peoples R China
来源：
FILOMAT | 2024年 / 38卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Weak group inverse; Reverse order law; Absorption law; MOORE-PENROSE; CORE INVERSE; RINGS;
D O I：
10.2298/FIL2412147Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a proper (*)-ring, reverse order laws of the weak group inverse are investigated under certain conditions. Some new equivalent characterizations which ensure that reverse order laws of the weak group inverse hold are presented. Finally, absorption laws of the weak group inverse are studied.
引用
收藏
页码：4147 / 4155
页数：9
相关论文
共 50 条
  • [1] Absorption laws and reverse order laws for generalized core inverses
    Gao, Yuefeng
    Chen, Jianlong
    Wang, Long
    Zou, Honglin
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (08) : 3241 - 3254
  • [2] ON REVERSE ORDER LAWS FOR THE WEIGHTED GENERALIZED INVERSE
    Zheng, Bing
    Xiong, Zhiping
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2009, 34 (2A) : 195 - 203
  • [3] Reverse order laws for reflexive generalized inverse of operators
    Cvetkovic-Ilic, Dragana S.
    Nikolov, Jovana
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (06): : 1167 - 1175
  • [4] Constructions and characterizations of mixed reverse-order laws for the Moore-Penrose inverse and group inverse
    Tian, Yongge
    GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (06) : 1049 - 1062
  • [5] Reverse order laws for the generalized Drazin inverse in Banach algebras
    Mosic, Dijana
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 429 (01) : 461 - 477
  • [6] Reverse order laws for the Drazin inverse of a triple matrix product
    Tian, YG
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2003, 63 (03): : 261 - 277
  • [7] Vanishing pseudo-Schur complements, reverse order laws, absorption laws and inheritance properties
    Bisht, Kavita
    Sivakumar, K. C.
    LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (01): : 167 - 183
  • [8] Improvements on the reverse order laws
    Ilic, Dragana Cvetkovic
    Milenkovic, Jovana
    MATHEMATISCHE NACHRICHTEN, 2023, 296 (07) : 2850 - 2858
  • [9] Reverse order laws in C*-algebras
    Cvetkovic-Ilic, Dragana S.
    Harte, Robin
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (05) : 1388 - 1394
  • [10] Reverse order laws for the Drazin inverses
    Wang, Xiunan
    Yu, Anqi
    Li, Tengfei
    Deng, Chunyuan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 444 (01) : 672 - 689
12345