Prime and semiprime rings with symmetric skew $n$-derivations
Volume 134 / 2014
Colloquium Mathematicum 134 (2014), 245-253
MSC: Primary 16W25; Secondary 16N60.
DOI: 10.4064/cm134-2-8
Abstract
Let $n\ge 3$ be a positive integer. We study symmetric skew $n$-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew $n$-derivation has to be commutative.
