MMN-1913
On the Moore-Penrose inverse in rings with involution
Dijana Mosic;Abstract
We study equivalent conditions to those given in Penrose equations
for an element to be the Moore--Penrose inverse of a given element
in a ring with involution, using the concept of EP, normal,
bi--EP, bi--normal, {\it l}--(or {\it r}--)quasi--EP, {\it l}--(or
{\it r}--)quasi--normal and *-cancellable elements. The mentioned
conditions are weaker that the one of being self--adjoint.
Vol. 18 (2017), No. 1, pp. 347-351