Abstract
We introduce the class of {\it unipotently nil clean} rings as these rings $R$ in which for every $a\in R$ there exist an idempotent $e$ and a nilpotent $q$ such that $a-e-1-q\in (1-e)Ra$. Each unipotently nil clean ring is weakly nil clean as well as each nil clean ring is unipotently nil clean. Our results obtained here considerably extend those from [8] and [7], respectively.
Citation
Peter Danchev. "Generalizing nil clean rings." Bull. Belg. Math. Soc. Simon Stevin 25 (1) 13 - 29, march 2018. https://doi.org/10.36045/bbms/1523412048
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