p-filiform Zinbiel algebras

2012/04/10 by L.M. Camacho, Camacho, L. M., E.M. Cañete +5
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1204.2051

openalex publication_date 2012/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ≥ 4.

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• Classification of complex naturally graded quasi-filiform Zinbiel algebras
• Classifications of some classes of Zinbiel algebras
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