Identities with derivations and automorphisms on semiprime rings

Autor: Joso Vukman
Jazyk: angličtina
Rok vydání: 2005
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 7, Pp 1031-1038 (2005)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
DOI: 10.1155/IJMMS.2005.1031
Popis: 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.
Databáze: Directory of Open Access Journals
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