Geodesic
Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical
Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 810-821

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DOI

This paper is about rings $R$ for which every element is a sum of a tripotent and an element from the Jacobson radical $J(R)$. These rings are called semi-tripotent rings. Examples include Boolean rings, strongly nil-clean rings, strongly 2-nil-clean rings, and semi-boolean rings. Here, many characterizations of semi-tripotent rings are obtained. Necessary and sufficient conditions for a Morita context (respectively, for a group ring of an abelian group or a locally finite nilpotent group) to be semi-tripotent are proved.
DOI : 10.4153/S0008439519000092
Mots-clés : idempotent, tripotent, Jacobson radical, idempotent lifting modulo Jacobson radical, Boolean ring, semi-boolean ring 
Koşan, M. Tamer; Yildirim, Tülay; Zhou, Y. Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical. Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 810-821. doi: 10.4153/S0008439519000092
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     title = {Rings whose {Elements} are the {Sum} of a {Tripotent} and an {Element} from the {Jacobson} {Radical}},
     journal = {Canadian mathematical bulletin},
     pages = {810--821},
     year = {2019},
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     doi = {10.4153/S0008439519000092},
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