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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… Click to show full 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.
Keywords:
right modules;
generalized inverse;
outer inverse;
homomorphism right;
inverse homomorphism
Journal Title: Filomat
Year Published: 2019
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!