Weak core and central weak core inverse in a proper *-ring release_2gm3l3o5ibarvmymbwrxwgnlmi

Abstract

In this paper, we introduce the notion of weak core and central weak core inverse in a proper *-ring. We further elaborate on these two classes by producing a few representation and characterization of the weak core and central weak core invertible elements. We investigate additive properties and a few explicit expressions for these two classes of inverses through other generalized inverses. In addition to these, numerical examples are provided to validate a few claims on weak core and central weak core inverses.
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