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Weak core and central weak core inverse in a proper *-ring
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by
Jajati Keshari Sahoo, Ratikanta Behera, Sourav Das
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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Date 2020-05-28
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Date 2020-05-28
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v1
arXiv
2005.13782v1
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