Classifications of some classes of Zinbiel algebras

Details Classifications of some classes of Zinbiel algebras Classifications of some classes of Zinbiel algebras

2007-02-27

arxiv.org/abs/math/0702809v1

Mathematics

Rings and Algebras

13 pages. submitted to Collectanea Mathematica

Scientific paper

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 $\leq 3$ up to the dimension $4.$

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