Affiliation:
1. School of Mathematics, Southeast University, Nanjing, P. R. China
Abstract
In this paper, we introduce the definition of the generalized inverse f(2)T,S, which is an outer inverse of the homomorphism f of right R-modules
with prescribed image T and kernel S. Some basic properties of the
generalized inverse f(2)T,S are presented. It is shown that the Drazin
inverse, the group inverse and the Moore-Penrose inverse, if they exist, are
all the generalized inverse f 2) T,S. In addition, we give necessary and
sufficient conditions for the existence of the generalized inverse f(1,2)T,S.
Publisher
National Library of Serbia