On Jordan left-I-centralizers of prime and semiprime gamma rings with involution

Authors

1 Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh

2 Department of Mathematics, Yazd University, Yazd, Iran

10.21608/joems.2016.386738

Abstract

LetMbe a 2-torsion free C-ring with involution I satisfying the condition xaybz ¼ xbyaz
for all x; y; z 2 M and a; b 2 C. The object of our paper is to show that every Jordan left-I-centralizer
on a semiprime C-ring with involution I, is a reverse left-I-centralizer. We solve some functional
equations in prime and semiprime C-rings with involution I by means of the above results. Moreover,
we discuss some more related results.

Keywords