任意半环上正则元的广义逆（英文）  

On generalized inverses of regular elements in an arbitrary semiring

作　　者：Israx Ali Khan 王卿文[2] Israr Ali Khan;Wang Qingwen(Department of Electrical Engineering,Namal College,Mianwali,42250,Pakistan;College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]Namal学院电子工程系,巴基斯坦米杨瓦利42250 [2]上海大学理学院,上海200444

出　　处：《上海师范大学学报（自然科学版）》2018年第3期267-274,共8页Journal of Shanghai Normal University(Natural Sciences)

基　　金：The National Natural Science Foundation of China(11571220)

摘　　要：研究了任意半环上正则元的广义逆的存在性.给出了任意半环上正则元的{1,2}-逆存在的一些充分条件,同时给出了{1,2}-逆存在时的表达式.作为{1,2}-逆的特殊情形,刻画了任意半环上正则元的Moore-Penrose逆和群逆的存在性.Abstract＂ In this paper, we investigate the generalized invertibility for regular elements in an arbitrary semiring. We give some sufficient conditions for the existence of a special kind of 1,2 inverse of a regular element a in an arbitrary semiring and give their expressions. As special cases of this 1,2 inverse, we characterize the Moore-Penrose invertibility and the group invertibility of a.

关 键 词：半环 正则元 MOORE-PENROSE逆 DRAZIN逆 群逆 

分 类 号：O153.3[理学—数学]