Joso Vukman (Avtor)

Povzetek

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.

Ključne besede

matematika;algebra;asociativni kolobarji in algebre;odvajanja;kolobarji;polprakolobarji;avtomorfizmi;ne zaključna dela;mathematics;associative rings and algebras;derivations;prime rings;semiprime rings;automorphisms;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UM PEF - Pedagoška fakulteta
UDK: 512.552
COBISS: 14107912 Povezava se bo odprla v novem oknu
ISSN: 0161-1712
Št. ogledov: 1094
Št. prenosov: 379
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: Matematika;Algebra;Kolobarji (algebra);Avtomorfizmi;
URN: URN:SI:UM:
Vrsta dela (COBISS): Članek v reviji
Strani: str. 1031-1038
Zvezek: 7
Čas izdaje: 2005
DOI: 10.1155/IJMMS.2005.1031
ID: 10842684