Georgian Mathematical Journal ( IF 0.500 ) Pub Date : 2020-07-16 , DOI: 10.1515/gmj-2020-2066
Let $ℛ$ be a prime ring, $𝒬r$ the right Martindale quotient ring of $ℛ$ and $𝒞$ the extended centroid of $ℛ$. In this paper, we discuss the relationship between the structure of prime rings and the behavior of skew derivations on multilinear polynomials. More precisely, we investigate the m-potent commutators of skew derivations involving multilinear polynomials, i.e.,