Alternative Description of Three Dimensional Complex Disassociative Algebras with Some Constraints

Abstract

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