On generalized inverses of regular elements in an arbitrary semiring
Israr Ali Khan, Wang Qingwen · DOAJ (DOAJ: Directory of Open Access Journals) · 2018
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.