20.500.12556/DKUM-66191 Identities with derivations and automorphisms on semiprime rings The 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. mathematics algebra associative rings and algebras derivations prime rings semiprime rings automorphisms matematika algebra asociativni kolobarji in algebre odvajanja kolobarji polprakolobarji avtomorfizmi true true true Angleški jezik Slovenski jezik Članek v reviji 2017-06-14 11:50:48 2017-06-14 11:51:45 2024-08-08 13:36:04 2019-07-11 15:41:29 2005 0 0 str. 1031-1038 št. 7 Letn. 2005 2005 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 0161-1712 512.552 25648128 14107912 10.1155/IJMMS.2005.1031 0161-1712 URN:SI:UM:DK:DIWUYT8X International_Journal_of_Mathematics_and_Mathematical_Sciences_2005_Vukman_Identities_with_derivations_and_automorphisms_on_semiprime_ri.pdf International_Journal_of_Mathematics_and_Mathematical_Sciences_2005_Vukman_Identities_with_derivations_and_automorphisms_on_semiprime_ri.pdf 1 F22A249BA70EDB40122247F53267298B edff936046becf0d1cd389177a4ecf11f344aeb60479ada359a1a6e11d99dd1f 3e03237c-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=112511 http://www.hindawi.com/journals/ijmms/2005/946824/abs/ 1 https://dk.um.si/Dokument.php?lang=slv&id=112510 Pedagoška fakulteta 0 0 0