Classifications of some classes of Zinbiel algebras

2007/02/27 by Adashev, J. Q., Omirov, B. A., Khudoyberdiyev, A. Kh.
#17A32 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.math/0702809

Abstract

In this work nul-filiform and filiform Zinbiel algebras are described up to isomorphism. Moreover, the classification of complex Zinbiel algebras is extended from dimensions ≤ 3 up to the dimension 4.

Related

• Classification of complex naturally graded quasi-filiform Zinbiel algebras
• p-filiform Zinbiel algebras
• Zinbiel superalgebras
• The classification of naturally graded Zinbiel algebras with characteristic sequence equal to (n-p,p).
• Naturally graded Zinbiel algebras with nilindex n-3