Left Jordan -Centralizer on Completely Prime -Ring

Abstract

Let M be -ring this research introduce the concepts of left (resp. right) -centralizer, left (resp. right) Jordan -centralizer, left (resp. right) Jordan triple -centralizer of -ring as well as prove that every left (resp. right) Jordan -centralizer of completely prime -ring M is left (resp. right) -centralizer of M.Mathematics Subject Classification: 16W25,16A12, 16A78.