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

Authors

Auday Hekmat Mahmood

Abstract

Let Rbe a 2-torision free prime ring and 𝜎, 𝜏∈Aut(R).Furthermore,G: R×R→Ris a symmetric generalized (𝜎, τ)-Biderivationassociated with a nonzero (𝜎, τ)-Biderivation D. In this paper some certain identities are presentedsatisfying by the traces of Gand Don an ideal of R which forces Rto be commutative

Keywords

Prime rings, Symmetric generalized (𝜎, τ)-Biderivation, Trace of biadditive mappings, Commuting mappings

Article Type

Article

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Mahmood, Auday Hekmat (2017) "Notes on Traces of a Symmetric Generalized (𝝈, τ)-Biderivations and Commutativity in Prime Rings," Baghdad Science Journal: Vol. 14: Iss. 1, Article 23.
DOI: https://doi.org/10.21123/bsj.2017.14.1.0213