Glasnik Matematicki, Vol. 39, No.1 (2004), 21-26.
A REMARK ON CENTRALIZERS IN SEMIPRIME RINGS
Department of Mathematics, University of Maribor,
PEF, Koroska c. 160, 2000 Maribor, Slovenia
Abstract. The purpose of this paper is to prove the
following result: Let m
n ≥ 1
be fixed integers and let R be
a (m + n + 2)!-torsion free semiprime ring with the
identity element. Suppose there exists an additive mapping
T : R
R, such that
holds for all x
In this case T is a centralizer.
2000 Mathematics Subject Classification.
Key words and phrases. Prime ring, semiprime ring, left
(right) centralizer, left (right) Jordan centralizer, centralizer.
Full text (PDF) (free access)
Glasnik Matematicki Home Page