Existence of Moore-Penrose inverses in rings with involution
Wannisa Apairat, Sompong Chuysurichay · DOAJ (DOAJ: Directory of Open Access Journals) · 2018
We give necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an element in a ring with involution. If R is a ring with involution, we also investigate the existence of the Moore-Penrose inverse of the product 1 2 n x x x where 1 2 , , , n x x x are Moore-Penrose invertible elements of R .