期刊论文详细信息
Journal of Shanghai Normal University (Natural Sciences) | |
On generalized inverses of regular elements in an arbitrary semiring | |
Wang Qingwen1  Israr Ali Khan2  | |
[1] College of Sciences, Shanghai University, Shanghai 200444, China;Department of Electrical Engineering, Namal College, Mianwali, 42250, Pakistan; | |
关键词: semiring; regular element; Moore-Penrose inverse; Drazin inverse; group inverse; | |
DOI : 10.3969/J.ISSN.100-5137.2018.03.001 | |
来源: DOAJ |
【 摘 要 】
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.
【 授权许可】
Unknown