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

Autor: Akhil Chandra Paul, Kalyan Kumar Dey, Bijan Davvaz
Rok vydání: 2016
Předmět:
Zdroj: Journal of the Egyptian Mathematical Society, Vol 24, Iss 1, Pp 8-14 (2016)
ISSN: 1110-256X
DOI: 10.1016/j.joems.2014.08.002
Popis: Let M be a 2-torsion free Γ-ring with involution I satisfying the condition xαyβz=xβyαz for all x,y,z∈M and α,β∈Γ. The object of our paper is to show that every Jordan left-I-centralizer on a semiprime Γ-ring with involution I, is a reverse left-I-centralizer. We solve some functional equations in prime and semiprime Γ-rings with involution I by means of the above results. Moreover, we discuss some more related results.
Databáze: OpenAIRE