Semiderivations Satisfying Certain Algebraic Identities on Jordan Ideals-Reference-Cited by-同舟云学术

Semiderivations Satisfying Certain Algebraic Identities on Jordan Ideals

Published:2013-06-18 Issue: Volume:2013 Page:1-7
ISSN:2090-6293
Container-title:ISRN Algebra
language:en
Short-container-title:ISRN Algebra

Author:

De Filippis Vincenzo¹^ORCID,Mamouni Abdellah²,Oukhtite Lahcen²

Affiliation:

1. Department of Mathematics and Computer Science, University of Messina, 98166 Messina, Italy

2. Université Moulay Ismail, Faculté des Sciences et Techniques, Département de Mathématiques, BP 509, Boutalamine, 52000 Errachidia, Morocco

Abstract

Let be a ring. An additive mapping is called semiderivation of if there exists an endomorphism of such that and , for all in . Here we prove that if is a 2-torsion free -prime ring and a nonzero -Jordan ideal of such that for all , then either is commutative or for all . Moreover, we initiate the study of generalized semiderivations in prime rings.

Publisher

Hindawi Limited

Subject

Industrial and Manufacturing Engineering,Polymers and Plastics,History,Business and International Management

Link

http://downloads.hindawi.com/archive/2013/738368.pdf

Reference14 articles.

1. Derivations in prime rings

2. Differential identities, Lie ideals, and Posner’s theorems

3. Generalized derivations in rings*

4. Generalized derivations of left faithful rings

5. Derivations in Prime Rings

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