@Article{CMR-34-3,
author = {Yueming, Xiang and Ouyang, Lunqun},
title = {J-Clean and Strongly J-Clean Rings},
journal = {Communications in Mathematical Research },
year = {2018},
volume = {34},
number = {3},
pages = {241--252},
abstract = {<p style="text-align: justify;">Let $R$ be a ring and $J(R)$ the Jacobson radical. An element $a$ of $R$ is
called (strongly) $J$-clean if there is an idempotent $e\in R$ and $w\in J(R)$ such that&nbsp;$a=e+w$ (and $ew=we$). The ring $R$ is called a (strongly) $J$-clean ring provided
that every one of its elements is (strongly) $J$-clean. We discuss, in the present paper,
some properties of $J$-clean rings and strongly $J$-clean rings. Moreover, we investigate $J$-cleanness and strongly $J$-cleanness of generalized matrix rings. Some known results
are also extended.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2018.03.06},
url = {https://global-sci.com/article/81604/j-clean-and-strongly-j-clean-rings}
}