Prime and semiprime rings with symmetric skew 3-derivations

Abstract

V članku so obravnavana simetrična ▫$\alpha$▫-odvajanja na pra in polprakolobarjih. Pokazano je, da je pod določenimi pogoji vsak prakolobar z neničelnim simetričnim ▫$\alpha$▫-odvajanjem komutativen.

Keywords

algebra;prakolobarji;polprakolobarji;▫$\alpha$▫-odvajanja;centralizirajoče preslikave;komutirajoče preslikave;prime ring;semiprime ring;symmetric skew 3-derivation;centralizing mapping;commuting mapping;

Data

Language:	English
Year of publishing:	2014
Typology:	1.01 - Original Scientific Article
Organization:	UP - University of Primorska
UDC:	512.552
COBISS:	16682841
ISSN:	0001-9054
Views:	3632
Downloads:	138
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary title:	Prakolobarji in polprakolobarji s simetričnimi [alpha]-odvajanji
Secondary abstract:	In this paper we introduce the notion of symmetric skew 3-derivations of prime or semiprime rings and prove that under certain conditions a prime ring with a nonzero symmetric skew 3-derivation has to be commutative.
Secondary keywords:	algebra;prakolobarji;polprakolobarji;▫$\alpha$▫-odvajanja;centralizirajoče preslikave;komutirajoče preslikave;
Type (COBISS):	Not categorized
Pages:	str. 191-200
Volume:	ǂVol. ǂ87
Issue:	ǂiss. ǂ1-2
Chronology:	2014
ID:	1476931