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Identities with derivations and automorphisms on semiprime rings

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  • Joso Vukman

Abstract

The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. Mayne proved that in case there exists a nontrivial centralizing automorphism on a prime ring, then the ring is commutative. In this paper, some results related to Posner's theorem as well as to Mayne's theorem are proved.

Suggested Citation

  • Joso Vukman, 2005. "Identities with derivations and automorphisms on semiprime rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:946824
    DOI: 10.1155/IJMMS.2005.1031
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