Strongly Nil* Clean Ideals
نویسندگان
چکیده
An element is known a strongly nil* clean if a=e1 - e1e2 + n , where e1,e2 are idempotents and nilpotent, that commute with one another. ideal I of ring R called each element. We investigate some its fundamental features, as well relationship to the nil ideal.
منابع مشابه
Strongly nil-clean corner rings
We show that if $R$ is a ring with an arbitrary idempotent $e$ such that $eRe$ and $(1-e)R(1-e)$ are both strongly nil-clean rings, then $R/J(R)$ is nil-clean. In particular, under certain additional circumstances, $R$ is also nil-clean. These results somewhat improves on achievements due to Diesl in J. Algebra (2013) and to Koc{s}an-Wang-Zhou in J. Pure Appl. Algebra (2016). ...
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ژورنال
عنوان ژورنال: Ma?alla? al-r?fidayn li-?ul?m al-??sib?t wa-al-riy??iyy??
سال: 2022
ISSN: ['1815-4816', '2311-7990']
DOI: https://doi.org/10.33899/csmj.2022.176591