Authors : Auday Hekmat Mahmood, Alan Jalal Abdulqader and Mahdi Saleh Nayef
Abstract: Let R be an associative ring. The major proposal of the present study is to introduce the concept of relatively commuting of R. Let S be a nonempty sub set of R, A mapping δ:S→R is called relatively commuting mapping on S if [δ(s), s]n = 0 for all ∈S and a fixed positive integer n≥2. We describe the relationship between the new concept and the concept of commuting mapping. Moreover, we looking for some necessary conditions under which these two concepts equivalence.
Auday Hekmat Mahmood, Alan Jalal Abdulqader and Mahdi Saleh Nayef, 2018. Relatively Commuting Mapping and Symmetric Biderivations in Semiprime Rings. Journal of Engineering and Applied Sciences, 13: 10932-10935.