Skip to the main content

Original scientific paper

https://doi.org/10.3336/gm.47.1.09

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

Nina Peršin ; Prušnikova 48, 2000 Maribor, Slovenia
Joso Vukman ; Department of Mathematics and Computer Science, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia


Full text: english pdf 134 Kb

page 119-132

downloads: 266

cite


Abstract

The purpose of this paper is to prove the following result. Let m≥ 1,n≥ 1 be some fixed integers and let R be a prime ring with char(R)=0 or (m+n)2 < char (R). Suppose there exists an additive mapping T:R → R satisfying the relation 2(m+n)2T(x3)=m(2m+n)T(x)x2+2mnxT(x)x+n(2n+m)x2T(x) for all x R. In this case T is a two-sided centralizer.

Keywords

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

Hrčak ID:

82575

URI

https://hrcak.srce.hr/82575

Visits: 522 *