Glasnik matematički, Vol. 45 No. 1, 2010.
Original scientific paper
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
Abstract
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.
Keywords
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
Publication date:
17.5.2010.
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