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Characterizes EP elements in rings with involution, highlighting implications for algebraic structures.
Let R be a ring with an involution. It has been proven that a ? REP if and only if (aa#)* = aa# , where a# is the group inverse of a, and REP is the set of all EP elements in R. In this paper, we use w-core inverses and core inverses to describe EP elements in a ring with an involution, by making full use of the result mentioned before.
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Cao et al. (2025) studied this question.
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