ON THE CHARACTERIZATION OF THE SET OF REFLEXIVE GENERALIZED INVERSES OF FINITE POTENT ENDOMORPHISMS

Diego Alba Alonso, Fernando Pablos Romo

Abstract


The aim of this work is to characterize the set of reflexive general-
ized inverses of a finite potent endomorphism. As an application we determine

the structure of the set of reflexive generalized inverses of an square matrix
with entries in an arbitrary field and we offer an algorithm for the explicit
computation of these matrices. Several examples of the given characterization
are also provided.


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