Commutativity of rings and near-rings with generalized derivations

Ahmed A. M. Kamal () and Khalid H. Al-Shaalan
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Ahmed A. M. Kamal: King Saud University
Khalid H. Al-Shaalan: King Abdul-aziz Military Academy

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 4, 473-496

Abstract: Abstract 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.

Keywords: Rings; near-rings; generalized derivation; primeness; commutativity (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0025-8

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