The absorption laws for the weighted core inverse in rings

被引：3
|
作者：
Li, Tingting [1 ]
Zhou, Mengmeng [2 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
[2] Nanjing Xiaozhuang Univ, Coll Informat Engn, Nanjing, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Absorption laws; weighted core inverse; {1}-inverse; {12}-inverse; {13e}-inverse;
D O I：
10.1080/03081087.2022.2033673
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions for the absorption laws of the weighted core inverse, {1}, {1, 2} and {1, 3e}-inverse are investigated in this paper. In addition, mixed absorption laws for {1}, {1, 2}, {1, 3e}, {1, 2, 3e} and {1, 6}-inverse are considered.
引用
收藏
页码：480 / 495
页数：16
相关论文
共 50 条
  • [1] Weighted generalized Drazin inverse in rings
    Mosic, Dijana
    Djordjevic, Dragan S.
    GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (04) : 587 - 594
  • [2] THE ABSORPTION LAWS FOR THE GENERALIZED INVERSES IN RINGS
    Jin, Hongwei
    Benitez, Julio
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2015, 30 : 827 - 842
  • [3] The forward order laws for the core inverse
    Tingting Li
    Dijana Mosić
    Jianlong Chen
    Aequationes mathematicae, 2021, 95 : 415 - 431
  • [4] The forward order laws for the core inverse
    Li, Tingting
    Mosic, Dijana
    Chen, Jianlong
    AEQUATIONES MATHEMATICAE, 2021, 95 (03) : 415 - 431
  • [5] Weighted pseudo core inverses in rings
    Zhu, Huihui
    Wang, Qing-Wen
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (12): : 2434 - 2447
  • [6] ON REVERSE ORDER LAWS FOR THE WEIGHTED GENERALIZED INVERSE
    Zheng, Bing
    Xiong, Zhiping
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2009, 34 (2A) : 195 - 203
  • [7] Perturbation of the weighted core–EP inverse
    Dijana Mosić
    Annals of Functional Analysis, 2020, 11 : 75 - 86
  • [8] On a weighted core inverse in a ring with involution
    Mosic, Dijana
    Deng, Chunyuan
    Ma, Haifeng
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (06) : 2332 - 2345
  • [9] Weighted weak core inverse of operators
    Mosic, Dijana
    Marovt, Janko
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20): : 4991 - 5013
  • [10] Reverse order laws and absorption laws of the weak group inverse
    Zhou, Mengmeng
    FILOMAT, 2024, 38 (12) : 4147 - 4155
12345