Identities with derivations and automorphisms on semiprime ringsVukman, Joso (Avtor) mathematicsalgebraassociative rings and algebrasderivationsprime ringssemiprime ringsautomorphismsThe purpose of the 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.20052017-06-14 11:50:48Članek v reviji66191ISSN: 0161-1712UDK: 512.552OceCobissID: 25648128COBISS_ID: 14107912DOI: 10.1155/IJMMS.2005.1031ISSN pri članku: 0161-1712NUK URN: URN:SI:UM:DK:DIWUYT8Xsl