Generalized Hirano inverses in rings

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 $bab=b,b\in com{m}^2(a),a^2-ab\in R^{qnil}$

Cited by in corpus (1)

• Generalized Hirano inverses in Banach Algebra