Alternative Description of Three Dimensional Complex Diassociative Algebras with Some Constraints.

Considering significant of classification problems in modern algebra, especially in the algebras which related to Lie algebras, current research pursue investigation on structure theory of low dimensional diassociative algebras. Note that the classification of complex diassociative algebras in low dimensions have been presented in our recent studies, however this paper deals to provide description of such algebras with some constrains in dimension three, applying notion of annihilator. [ABSTRACT FROM AUTHOR]