Open AccessNotes on Traces of a Symmetric Generalized (?, ?)-Biderivations and Commutativity in Prime Rings
Author(s) -
Baghdad Science Journal
Publication year - 2017
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.14.1.213-218
Subject(s) - mathematics , prime (order theory) , commutative property , commutative ring , ideal (ethics) , combinatorics , ring (chemistry) , pure mathematics , law , chemistry , political science , organic chemistry
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