Geodesic
The outer inverse f (2)T,S of a homomorphism of right R−modules
Filomat, Tome 33 (2019) no. 19, p. 6459

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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 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
DOI : 10.2298/FIL1919459W
Classification : 16D10, 15A09, 16S50, 16U99
Keywords: the generalized inverse f (2)T, S, the R−homomorphism, Drazin inverse, group inverse, Moore-Penrose inverse 
Zhou Wang. The outer inverse f (2)T,S of a homomorphism of right R−modules. Filomat, Tome 33 (2019) no. 19, p. 6459 . doi: 10.2298/FIL1919459W
@article{10_2298_FIL1919459W,
     author = {Zhou Wang},
     title = {The outer inverse f {(2)T,S} of a homomorphism of right {R\ensuremath{-}modules}},
     journal = {Filomat},
     pages = {6459 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919459W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919459W/}
}
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