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AL-Rafidain Journal of Computer Sciences and Mathematics

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Strongly Nil* Clean Ideals

    Muayad Mohammed Noor Alali Nazar Hamdoon Shuker

AL-Rafidain Journal of Computer Sciences and Mathematics, 2022, Volume 16, Issue 2, Pages 57-59
10.33899/csmj.2022.176591

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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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(2022). Strongly Nil* Clean Ideals. AL-Rafidain Journal of Computer Sciences and Mathematics, 16(2), 57-59. doi: 10.33899/csmj.2022.176591
Muayad Mohammed Noor Alali; Nazar Hamdoon Shuker. "Strongly Nil* Clean Ideals". AL-Rafidain Journal of Computer Sciences and Mathematics, 16, 2, 2022, 57-59. doi: 10.33899/csmj.2022.176591
(2022). 'Strongly Nil* Clean Ideals', AL-Rafidain Journal of Computer Sciences and Mathematics, 16(2), pp. 57-59. doi: 10.33899/csmj.2022.176591
Strongly Nil* Clean Ideals. AL-Rafidain Journal of Computer Sciences and Mathematics, 2022; 16(2): 57-59. doi: 10.33899/csmj.2022.176591
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