On generalized derivations in factor rings

Author:

Zerra Mohammed1,Bouchannafa Karim1,Oukhtite Lahcen1

Affiliation:

1. Department of Mathematics , Faculty of Science and Technology, Box 2202 , Sidi Mohamed Ben Abdellah University , Fez , Morocco

Abstract

Abstract The main purpose of this paper is to scrutinize the deportment of generalized derivations of R satisfying some functional * {*} -identities involving the center of the factor ring R / P {R/P} where P is a prime ideal of the ring R. Moreover, we suggest to give generalization of some well known results.

Publisher

Walter de Gruyter GmbH

Reference11 articles.

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2. H. E. Bell and W. S. Martindale, III, Centralizing mappings of semiprime rings, Canad. Math. Bull. 30 (1987), no. 1, 92–101.

3. K. Bouchannafa, M. A. Idrissi and L. Oukhtite, Relationship between the structure of a quotient ring and the behavior of certain additive mappings, Commun. Korean Math. Soc. 37 (2022), no. 2, 359–370.

4. I. N. Herstein, Rings with Involution, Chic. Lectures in Math., University of Chicago, Chicago, 1976.

5. B. Hvala, Generalized derivations in rings, Comm. Algebra 26 (1998), no. 4, 1147–1166.

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