Identities with derivations and automorphisms on semiprime rings

Joso Vukman

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-8

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:946824

DOI: 10.1155/IJMMS.2005.1031

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