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Commutativity of rings and near-rings with generalized derivations
Journal article   Peer reviewed

Commutativity of rings and near-rings with generalized derivations

Ahmed A. M. Kamal and Khalid H. Al-Shaalan
Indian journal of pure and applied mathematics, Vol.44(4), pp.473-496
01/08/2013
DOI: https://doi.org/10.1007/s13226-013-0025-8

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we prove some theorems of commutativity for prime rings or 3-prime near-rings with a suitably constrained generalized derivation. As a consequence of the results obtained, we prove several commutativity theorems for 3-prime near-rings and prime rings. Also, we prove some other results about the generalized derivation either on a near-ring or on a ring.

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