An equation related to two-sided centralizers in prime rings

Maja Fošner (Author), Joso Vukman (Author)

Abstract

The purpose of this paper is to prove the following result. Let ▫$m$▫ and ▫$n$▫ be positive integers, and let ▫$R$▫ be a prime ring with char▫$(R)=0$▫ or ▫$m+n+1 \le char(R)$▫. Let ▫$T \colon R \to R$▫ be an additive mapping satisfying the relation ▫$T(x^{m+n+1}) = {x^m}T(x)x^n$▫ for all ▫$x \in R$▫. In this case ▫$T$▫ is a two-sided centralizer.

Keywords

matematika;algebra;prakolobar;funkcijska identiteta;dvostranski centralizator;mathematics;prime ring;functional identity;two-sided centralizer;

Data

Language:	English
Year of publishing:	2011
Typology:	1.01 - Original Scientific Article
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
UDC:	512.552.3
COBISS:	18547208
ISSN:	0035-7596
Views:	313
Downloads:	25
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Enačba v zvezi z dvostranskimi centralizatorji v prakolobarjih
URN:	URN:SI:UM:
Type (COBISS):	Not categorized
Pages:	str. 765-776
Volume:	Vol. 41
Issue:	no. 3
Chronology:	2011
DOI:	10.1216/RMJ-2011-41-3-765
ID:	1477040