Identities with derivations and automorphisms on semiprime rings
Joso Vukman
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Source: Crossref
Published: Jan 1, 2005
DOI: 10.1155/ijmms.2005.1031
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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.
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