关键词: 辛代数, 根基, 可解理想

Abstract: The authors investigate the decomposition of unital symplectic ternary algebra.In the progress of the note,the authors construct the correspondence of the radical among Lie algebras.Lie triple systems and symplectic ternary algebras, and draw the conclusion of the wedderburn principle theorem.

Key words: Symplectic ternary algebra, radical, solvable ideal