Izvorni znanstveni članak

https://doi.org/10.3336/gm.45.1.04

On (m,n)-Jordan centralizers in rings and algebras

Joso Vukman ; Department of Mathematics and Computer Science, University of Maribor, FNM, Koroska 160, 2000 Maribor, Slovenia

Sažetak

Let m ≥ 0, n ≥ 0 be fixed integers with m+n ≠ 0 and let R be a ring. It is our aim in this paper to investigate additive mapping T : R → R satisfying the relation (m+n)T(x2) = mT(x)x + nxT(x) for all x in R.

Ključne riječi

Ring; prime ring; semiprime ring; Banach space; Hilbert space; algebra of all bounded linear operators; standard operator algebra; H*-algebra; derivation; Jordan derivation; left (right) centralizer; two-sided centralizer; left (right) Jordan centralizer; (m; n)-Jordan centralizer

Hrčak ID:

52366

URI

https://hrcak.srce.hr/52366

Datum izdavanja:

17.5.2010.

Posjeta: 1.325 *