Notes on Traces of a Symmetric Generalized (?, ?)-Biderivations and Commutativity in Prime Rings

Let R be a 2-torision free prime ring and ?, ?? Aut(R). Furthermore, G: R×R?R is a symmetric generalized (?, ?)-Biderivation associated with a nonzero (?, ?)-Biderivation D. In this paper some certain identities are presented satisfying by the traces of G and D on an ideal of R which forces R to be...

Full description

Bibliographic Details
Main Author: Baghdad Science Journal
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2017-03-01
Series:Baghdad Science Journal
Subjects:
Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2354
Description
Summary:Let R be a 2-torision free prime ring and ?, ?? Aut(R). Furthermore, G: R×R?R is a symmetric generalized (?, ?)-Biderivation associated with a nonzero (?, ?)-Biderivation D. In this paper some certain identities are presented satisfying by the traces of G and D on an ideal of R which forces R to be commutative
ISSN:2078-8665
2411-7986