Physical Mathematics

Associative Triple Systems with Nondegenerate Bilinear Forms

Abstract

Almotairi KH, Baklouti A

This paper is bringing a better knowledge of associative triple systems and their related algebraic structures. We prove that any associative triple system is either a T*-extension of an associative triple system or an ideal of codimension one of a T*-extension of an associative triple system. Morover, we give several information about the structure of symmetric associative triple systems