(WEAKLY)n NIL CLEANNESS OF THE RING Zm

Let R be an associative ring with identity. For a positive integer n > 2, an element a 2 R is called n potent if a n = a . We define R to be (weakly) n-nil clean if every element in R can be written as a sum (a sum or a difference) of a nilpotent and an npotent element in R. This concept is actually a generalization of weakly nil clean rings introduced by Danchev and McGovern, [6]. In this paper, we completely determine all n; m 2 N such that the ring of integers modulo m, Zm is (weakly) nnil clean

Keywords:

Nil clean ring n-nil clean ring, weakly n-nil clean ring,

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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