Representations of the (b; c)-inverses in rings with involution
Representations of the (b; c)-inverses in rings with involution
复制标题
DOI：
10.2298/fil1709867k
复制
发表时间：
2017-01
期刊：
影响因子：
0.8
通讯作者：
Y. Ke;Yuefeng Gao;Jianlong Chen
中科院分区：
文献类型：
--
作者：
Y. Ke;Yuefeng Gao;Jianlong Chen
设R是环，B，c在R中.（B; c）-逆的概念是Drazin在2012年提出的。本文研究了具有对合环的（B; c）-逆存在的充要条件，并给出了新的表达式。基于群逆给出了（B; c）-逆的一种新表示.
Let R be a ring and b, and c in R. The concept of (b; c)-inverses was introduced by Drazin in 2012. In this paper, necessary and sucient conditions for the existence of the (b; c)-inverse in a ring with an involution are investigated, and new expressions for them are derived. A new representation of the (b; c)-inverse based on the group inverse is also presented.