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Notes on Traces of a Symmetric Generalized (σ, τ)-Biderivations and Commutativity in Prime Rings | ||
| Baghdad Science Journal | ||
| Article 1, Volume 14, Issue 1, 2017, Pages 213-218 | ||
| Author | ||
| Auday Hekmat Mahmood | ||
| Abstract | ||
| Let R be a 2-torision free prime ring and σ, τ∈ Aut(R). Furthermore, G: R×R→R is a symmetric generalized (σ, τ)-Biderivation associated with a nonzero (σ, τ)-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. | ||
| Keywords | ||
| Prime rings; Symmetric generalized; Biderivation; Trace of biadditive mappings; Commuting mappings | ||
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