Glasnik Matematicki, Vol. 45, No.1 (2010), 43-53.

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
e-mail: joso.vukman@uni-mb.si


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 : RR satisfying the relation (m+n)T(x2) = mT(x)x + nxT(x) for all x in R.

2000 Mathematics Subject Classification.   16W10, 46K15, 39B05.

Key words and phrases.   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.


Full text (PDF) (free access)

DOI: 10.3336/gm.45.1.04


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