Strongly Nil Clean Ideals

An element is known a strongly nil* clean element if a=e1- e1e2 + n, wheree1,e2 are idempotents andn is nilpotent, that commute with one another. An ideal I of a ring R is called a strongly nil* clean ideal if each element of Iis strongly nil* clean element. We investigate some of its fundamental fe...

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Veröffentlicht in:	AL-Rafidain journal of computer sciences and mathematics 2022-12, Vol.16 (2), p.57-59
Hauptverfasser:	Muayad Alali, Nazar Shuker
Format:	Artikel
Sprache:	ara
Schlagworte:	idempotent element jacobson radical nilpotent element strongly nil clean ideal
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	An element is known a strongly nil* clean element if a=e1- e1e2 + n, wheree1,e2 are idempotents andn is nilpotent, that commute with one another. An ideal I of a ring R is called a strongly nil* clean ideal if each element of Iis strongly nil* clean element. We investigate some of its fundamental features, as well as its relationship to the nil clean ideal.
ISSN:	1815-4816 2311-7990
DOI:	10.33899/csmj.2022.176591