On -centralizing mappings in rings with involution

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On -centralizing mappings in rings with involution

Ali, Shakir; Dar, Nadeem Ahmed

Georgian mathematical journal, 03/2014, Volume: 21, Issue: 1

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A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. The main purpose of this paper is to prove a *-version of Posner's theorem mentioned above. Moreover, we describe the structure of an arbitrary additive mapping which is *-centralizing on a prime ring with involution.

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