STRONGLY NIL* CLEAN IDEALS

Strongly Nil* Clean Ideals

Strongly Nil* Clean Ideals

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An element  is known a strongly Front Loader Door Catch 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 girls hoody fundamental features, as well as its relationship to the nil clean ideal.

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