Find in Library

In order to obtain the classification of 4-dimensional associative algebras with principal generators over complex number C under isostructuralism, by using the ring theory and distribution of roots of the equations satisfied by the principal generators: one quadruple root, four different roots, one triple root and one simple root, two different double roots, one double root and two different simple roots, the above equations are translated and stretched, then the more simple equations are obtained. By using linear algebras, quotient algebras and maple to make a large number of operations, it is concluded that each isomorphism type has nothing to do with parameters. Finally by comparing each isomorphism type, the complete classification is obtained, which deepens the realization of structure of asso ciative algebra, and provides reference for relative study.