On Symmetric Reverse Ɵ*-Bicentralizer in Semiprime *- Rings

Ikram A. Saed

doi:https://doi.org/10.14445/22315373/IJMTT-V47P540

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 4 | Year 2017 | Article Id. IJMTT-V47P540 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P540

On Symmetric Reverse Ɵ-Bicentralizer in Semiprime - Rings

Ikram A. Saed

Abstract

Let R be a *- ring and Ɵ is a mapping on R. In this paper, we introduce the concepts of the symmetric reverse Ɵ *- Bicentralizers in R, also we look for its relationship with a symmetric Jordan Ɵ *- Bicentralizers . Further, we investigate some identities satisfy by symmetric reverse Ɵ *- Bicentralizer.

Keywords

*- ring , semiprime *- ring , involution , reverse Ɵ *- Bicentralizer , symmetric reverse Ɵ *- Bicentralizer , symmetric Jordan Ɵ *- Bicentralizers.

References

[1] I. N. Herstein , Rings with Involution , University of Chicago Press , Chicago , 1976.
[2] M. Ashraf ," On Symmetric Generalized Derivations in Rings" , International Congress of mathematicians ,Hyderabad , India , 19 – 27, August 2010.
[3] S. Ali and M. S. Khan ," On *- Bimultipliers , generalized *- biderivations and related mappings" , Kyungpook Math. J. , 51(3) , 301 – 309 , 2011.
[4] H. A. Auday , " On Generalized Biderivations and Related Additive Mappings" , PHD thesis , Mustansiriy University ,Iraq , 2015.

Citation :

Ikram A. Saed, "On Symmetric Reverse Ɵ*-Bicentralizer in Semiprime *- Rings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 4, pp. 289-294, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P540