Representations of the (b, c)-Inverses in Rings with Involution

被引：7

作者：

Ke, Yuanyuan ^{[1
]}

Gao, Yuefeng ^{[1
]}

Chen, Jianlong ^{[1
]}

机构：

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

来源：

FILOMAT | 2017年 / 31卷 / 09期

关键词：

Generalized inverse; (b; c)-inverse; (p; q)-outer generalized inverse; group inverse; OUTER GENERALIZED INVERSES; BANACH-ALGEBRAS; MOORE-PENROSE; (P; IDEMPOTENTS; PROJECTIONS;

D O I：

10.2298/FIL1709867K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a ring and b,c is an element of R. The concept of (b, c)-inverses was introduced by Drazin in 2012. In this paper, the existence and the expression of the (b, c)-inverse in a ring with an involution are investigated. A new representation of the (b, c)-inverse based on the group inverse is also presented.

引用

页码：2867 / 2875

页数：9

共 20 条

[1] [Anonymous], 1955, P CAMB PHILOS SOC, DOI [DOI 10.1017/S0305004100030401, 10.1017/S0305004100030401]
[2] Ben-Israel A., 2003, Generalized inverses: theory and applications, V15
[3] ON THE ALGEBRA OF NETWORKS
BOTT, R
DUFFIN, RJ
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 74 (JAN) : 99 - 109
[4] Boullion T. L., 1968, P S THEOR APPL GEN I
[5] The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras
Cao, Jianbing
Xue, Yifeng
[J]. FILOMAT, 2013, 27 (05) : 851 - 863
[6] Cvetkovi-Ili DS, 2009, APPL MATH COMPUT, V209, P191
[7] Characterizations and representations of the (P, Q)-outer generalized inverse
Deng, Chunyuan
Yu, Anqi
Wei, Yimin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 : 432 - 442
[8] Outer generalized inverses in rings
Djordjevic, DS
Wei, YM
[J]. COMMUNICATIONS IN ALGEBRA, 2005, 33 (09) : 3051 - 3060
[9] The representation and approximations of outer generalized inverses
Djordjevic, DS
Stanimirovic, PS
Wei, Y
[J]. ACTA MATHEMATICA HUNGARICA, 2004, 104 (1-2) : 1 - 26
[10] Operators with equal projections related to their generalized inverses
Djordjevic, DS
Wei, YM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (03) : 655 - 664

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