Strongly Nil* Clean Ideals | ||
AL-Rafidain Journal of Computer Sciences and Mathematics | ||
Article 7, Volume 16, Issue 2, December 2022, Pages 57-59 PDF (656.74 K) | ||
Document Type: Research Paper | ||
DOI: 10.33899/csmj.2022.176591 | ||
Authors | ||
Muayad Mohammed Noor Alali* ; Nazar Hamdoon Shuker | ||
College of computer science and Mathematics University of Mosul | ||
Abstract | ||
An element is known a strongly nil* clean element if a=e1 - e1e2 + n , where e1,e2 are idempotents and n 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 I is strongly nil* clean element. We investigate some of its fundamental features, as well as its relationship to the nil clean ideal. | ||
Keywords | ||
Nilpotent element; Jacobson radical; Strongly nil* clean ideal; Idempotent element | ||
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