Affiliation:
1. Faculty of Mechanical Engineering, University of Maribor, Smetanova, Maribor , Slovenia
Abstract
Abstract
The main aim of this manuscript is to prove the following result. Let n > 2 be a fixed integer and R be a k-torsion free semiprime ring with identity, where k ∈ {2, n - 1, n}. Let us assume that for the additive mapping T : R→ R 3T(xn) = T(x)xn-1+ xT(xn-2)x + xn-1T(x), x ∈R, is also fulfilled. Then T is a two-sided centralizer.
Reference17 articles.
1. [1] Beidar K.I., Brešar M., Chebotar M.A., Martindale W.S., 3rd, On Herstein’s Lie map conjectures. II, J. Algebra 238 (2001), 239-264.
2. [2] Beidar K.I., Martindale W.S., III, Mikhalev A.V., Rings with generalized identities, Monographs and Textbooks in Pure and Applied Mathematics 196, Marcel Dekker Inc., New York, 1996.
3. [3] Benkovic D., Eremita D., Vukman J., A characterization of the centroid of a prime ring, Studia Sci. Math. Hungar. 45 (2008), 379-394.
4. [4] Brešar M., Jordan derivations on semiprime rings, Proc. Amer. Math. Soc. 104 (1988), 1003-1006.10.1090/S0002-9939-1988-0929422-1
5. [5] Brešar M., Jordan mappings of semiprime rings, J. Algebra 127 (1989), 218-228.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献