Abstract: In this paper we introduce the notion of symmetric skew 3-derivations of prime or semiprime rings and prove that under certain conditions a prime ring with a nonzero symmetric skew 3-derivation has to be commutative.Keywords: algebra, prime ring, semiprime ring, symmetric skew 3-derivation, centralizing mapping, commuting mappingPublished in RUP: 15.10.2013; Views: 3731; Downloads: 138 Link to full text