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arXiv · 1204.2051

p-filiform Zinbiel algebras

L. M. Camacho·E. M. Cañete·S. Gómez-Vidal·B. A. Omirov
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Abstract

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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L. M. Camacho, E. M. Cañete, S. Gómez-Vidal, B. A. Omirov. 2012-04-10. p-filiform Zinbiel algebras. https://arxiv.org/abs/1204.2051

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