Mathematica Eterna
Open Access

Abstract

The Centroid of Symplectic Ternary Algebras

BAI Ximei and Liu Wenli

In this paper, we study the centroid of a symplectic ternary algebra and find some elementary properties. In particular, some further results concerning centroid for nilpotent and simple symplectic ternary algebras are obtained. At the same time, we discuss the central derivation of the symplectic ternary algebras.