Double Reverse  Theta *- Centralizer of Rings  With Involution

Ikram A. Saed

Ikram A. Saed Applied Mathematics, Department of Applied Science, University of Technology, Baghdad, Iraq.

Keywords: *- Ring; semiprime *- ring; reverse *- centralizer; involution; double reverse θ* - centralizer; double Jordan θ* - centralizer .

Abstract

Let R be a ring with involution and θ is a mapping of R. It was known that every double reverse θ* - centralizer is a double Jordan θ* - centralizer on R but the converse need not be true . In this paper we give conditions to the converse to be true .

Downloads

Download data is not yet available.

References

Herstein , I.N.(1969).Topics in Ring Theory , University of Chicago Press , Chicago .

Herstein , I.N.(1976). Rings with Involution , University of Chicago Press , Chicago .

Fadhl , F.A.(2010) . Double Centralizers on Prime and Semiprime Rings . Baghdad University (Iraq). MSC. Thesis .

Obaid , A.A.(2009) . Additive Mappings on Prime and Semiprime Rings with Involution . Baghdad University (Iraq) . MSC. Thesis .

Ashraf , M . and Mozumder , M . R .(2012) . On Jordan α*- Centralizers in Semiprime Rings with Involution . Int. J. Contemp . Math. Sciences , 7(23), 1103-1112.