The characterizations of one-sided generalized inverses
COMMUNICATIONS IN ALGEBRA(2019)
Abstract
In this article, some characterizations of one-sided generalized inverses are investigated. Let R be a *-ring and It is shown that for a* is right invertible if and only if In particular, the expression of a(dagger) are given whenever Moreover, it is also proven that if and only if is right invertible along a if and only if is right invertible along a, where n is an arbitrary positive integer. Finally, we present some characterizations of by using projections and units.
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Key words
Core inverse,inverse along an element,rings
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