p-filiform Zinbiel algebras

Details p-filiform Zinbiel algebras p-filiform Zinbiel algebras

2012-04-10

arxiv.org/abs/1204.2051v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

The paper deals with the classification of a subclass of finite-dimensional
Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel
algebra is the dual to Leibniz algebra in Koszul sense. We prove that there
exists, up to isomorphism, only one family of naturally graded p-filiform
Zinbiel algebras under hypothesis $n-p \geq 4.$

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