CONJUGACY CLOSED ALGEBRAS

V O CHIBOKA

Keywords: Conjugacy closed algebra, Conjugacy closed loop, flexible, derivation, alternative Centrum.

Abstract

It is proved that every flexible conjugacy closed algebra A is a an alternative algebra. The right and left multiplications are derivations of A. For each element in the centre of A such that R_by.x = R_byx there exists a derivation of A.

Issue

Vol 1 No 2 (2002)

Section

Articles