Inner ideals of the special linear lie algebras of associative simple finite dimensional algebras.

In this paper, we discuss and study the structure of inner ideals of the special linear Lie algebras of associative simple algebras. We prove that if A is an associative finite dimensional simple algebra over algebraically closed fields of positive characteristic, then every inner ideal of regular type of [A, A] is generated by a pair of idempotents. [ABSTRACT FROM AUTHOR]