Journal of Generalized Lie Theory and Applications

Classications of some classes of Zinbiel algebras

Abstract

J.Q.ADASHEV, A.Kh.KHUDOYBERDIYEV, and B.A.OMIROV

In this work, the nul-liform and liform Zinbiel algebras are described up to iso- morphism. Moreover, the classication of complex Zinbiel algebras dimensions  3 is extended up to dimension 4.