Title of article :
STUDY OF THE STRUCTURE OF QUOTIENT RINGS SATISFYING ALGEBRAIC IDENTITIES
Author/Authors :
EL HAMDAOUI ، M. Department of Mathematics - Polydisciplinary Faculty - Sidi Mohamed Ben Abdellah University , Boua ، A. Department of Mathematics - Polydisciplinary Faculty - Sidi Mohamed Ben Abdellah University
From page :
117
To page :
125
Abstract :
Assuming that R is an associative ring with prime ideal P, this paper investigates the commutativity of the quotient ring R/P, as well as the possible forms of generalized derivations satisfying certain algebraic identities on R. We give results on strong commutativity, preserving generalized derivations of prime rings, using our theorems. Finally, an example is given to show that the restrictions on the ideal P are not superfluous.
Keywords :
Generalized derivations , Prime ideals , Prime rings
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics
Record number :
2781587
Link To Document :
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