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Generalized Hirano inverses in rings

Published 28 Jul 2017 in math.RA | (1707.09389v1)

Abstract: We introduce and study a new class of generalized inverse in rings. An element $a$ in a ring $R$ has generalized Hirano inverse if there exists some $b\in R$ such that $bab=b, b\in comm2(a), a2-ab \in R{qnil}$

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