GENERALIZING $\pi$-REGULAR RINGS
GENERALIZING $\pi$-REGULAR RINGS
We introduce the class of weakly nil clean rings, as rings $R$ in which for every $a \in R$ there existan idempotent $e$ and a nilpotent $q$ such that $a-e-q \in eRa$. Every weakly nil clean ring is exchange. Weakly nil clean rings contain $\pi$-regular rings as a proper subclass, …