On certain functional equation arising from (m, n)-Jordan centralizers in prime rings

Nina Peršin (Author), Joso Vukman (Author)

Abstract

The purpose of this paper is to prove the following result. Let ▫$m \ge 1$▫, ▫$n \ge 1$▫ be some fixed integers and let ▫$R$▫ be a prime ring with ▫$\text{char}(R)= 0$▫ or ▫$(m+n)^2 < \text{char}(R)$▫. Suppose there exists an additive mapping ▫$T \colon R \to R$▫ satisfying the relation ▫$2(m+n)^2T(x^3) = m(2m+n)T(x)x^2 + 2mnxT(x)x + n(2n+m)x^2T(x)$▫ for all ▫$x \in R$▫. In this case ▫$T$▫ is a two-sided centralizer.

Keywords

matematika;algebra;kolobar;prakolobar;polprakolobar;Banachov prostor;Hilbertov prostor;algebra vseh omejenih linearnih operatorjev;standardna operatorska algebra;odvajanje;jordansko odvajanje;centralizator;ring;prime ring;semiprime ring;Banach space;Hilbert space;algebra of all bounded linear operators;standard operator algebra;derivation;Jordan derivation;left (right) centralizer;two-sided centralizer;left (right) Jordan centralizer;(m,n)-Jordan centralizer;

Data

Language:	English
Year of publishing:	2012
Typology:	1.01 - Original Scientific Article
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
UDC:	517.986
COBISS:	19107848
ISSN:	0017-095X
Views:	377
Downloads:	38
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
URN:	URN:SI:UM:
Type (COBISS):	Not categorized
Pages:	str. 119-132
Volume:	Vol. 47
Issue:	no. 1
Chronology:	2012
ID:	1477043