m-weak group inverses in a ring with involution

被引：23

作者：

Zhou, Yukun ^{[1
]}

Chen, Jianlong ^{[1
]}

Zhou, Mengmeng ^{[1
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 115卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Weak group inverse; m-Weak group inverse; Pseudo core inverse; MOORE-PENROSE; CORE INVERSE; M-EP;

D O I：

10.1007/s13398-020-00932-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a unitary ring with involution, we prove that each element has at most one weak group inverse if and only if each idempotent element has a unique weak group inverse. Furthermore, we define them-weak group inverse and show some properties ofm-weak group inverse.

引用

页数：13

共 50 条

[31] Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices
Catral, M
Neumann, M
Xu, JH
LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 409 : 32 - 50
[32] Left core inverses in rings with involution
Cang Wu
Jianlong Chen
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
[33] m-WEAK AMENABILITY OF (2n)TH DUALS OF BANACH ALGEBRAS
Ettefagh, Mina
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (01): : 1 - 11
[34] Pseudo core inverses in rings with involution
Gao, Yuefeng
Chen, Jianlong
COMMUNICATIONS IN ALGEBRA, 2018, 46 (01) : 38 - 50
[35] Left core inverses in rings with involution
Wu, Cang
Chen, Jianlong
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (02)
[36] Nilpotency of group ring units symmetric with respect to an involution
Lee, Gregory T.
Sehgal, Sudarshan K.
Spinelli, Ernesto
JOURNAL OF PURE AND APPLIED ALGEBRA, 2010, 214 (09) : 1592 - 1597
[37] Common Fixed Point Theorems for m-weak** Commuting Mappings in 2-metric Spaces
Ahmed, A. El-Sayed
APPLIED MATHEMATICS & INFORMATION SCIENCES, 2007, 1 (02): : 157 - 171
[38] WEAK DRAZIN INVERSES
CAMPBELL, SL
MEYER, CD
LINEAR ALGEBRA AND ITS APPLICATIONS, 1978, 20 (02) : 167 - 178
[39] Matrices whose group inverses are M-matrices
Kalauch, A.
Lavanya, S.
Sivakumar, K. C.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 614 : 44 - 67
[40] 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

← 1 2 3 4 5 →