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http://dx.doi.org/10.4134/BKMS.2014.51.1.207

IDENTITIES WITH ADDITIVE MAPPINGS IN SEMIPRIME RINGS  

Fosner, Ajda (Faculty of Management University of Primorska)
Ur Rehman, Nadeem (Department of Mathematics Aligarh Muslim University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.1, 2014 , pp. 207-211 More about this Journal
Abstract
The aim of this paper is to prove the next result. Let n > 1 be an integer and let R be a n!-torsion free semiprime ring. Suppose that f : R ${\rightarrow}$ R is an additive mapping satisfying the relation [f(x), $x^n$] = 0 for all $x{\in}R$. Then f is commuting on R.
Keywords
prime ring; semiprime ring; additive mapping; centralizing mapping; commuting mapping;
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