Generalized Hirano inverses in rings
Abdolyousefi, Marjan Sheibani, Huanyin Chen · arXiv (Cornell University) · 2017
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 $bab=b, b\in comm^2(a), a^2-ab \in R^{qnil}$