Joso Vukman (Author)

Abstract

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.

Keywords

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

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM PEF - Faculty of Education
UDC: 512.552
COBISS: 14107912 Link will open in a new window
ISSN: 0161-1712
Views: 1094
Downloads: 379
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Other data

Secondary language: Slovenian
Secondary keywords: Matematika;Algebra;Kolobarji (algebra);Avtomorfizmi;
URN: URN:SI:UM:
Type (COBISS): Article
Pages: str. 1031-1038
Issue: 7
Chronology: 2005
DOI: 10.1155/IJMMS.2005.1031
ID: 10842684