IJPAM: Volume 93, No. 1 (2014)
Department of Mathematics
Aligarh Muslim University
Aligarh, 202002, INDIA
Abstract. Let be a ring and be a nonempty subset of . A
mapping is said to be centralizing (resp. commuting) on if (resp. ) for all . The purpose of this paper is to generalize the classical theorem of Posner [7, Theorem 2] and to extend a result of Bell and Martindale [1, Theorem 3] for a generalized derivation of a semiprime ring which is commuting on a left ideal of .
Received: December 17, 2011
AMS Subject Classification:
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DOI: 10.12732/ijpam.v93i1.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 1 - 5
This work is licensed under the Creative Commons Attribution International License (CC BY).