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Preprint

p-filiform Zinbiel algebras

L.M. CamachoDpto. Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, SpainE.M. CañeteDpto. Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, SpainS. Gómez-VidalDpto. Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, SpainB. A. OmirovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, F. Hodjaev srt., 100125 Tashkent, Uzbekistan
arXiv (Cornell University)repository2012en
ABI

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 $n-p \geq 4.$

Topics

Algebraic structures and combinatorial modelsAdvanced Topics in AlgebraHomotopy and Cohomology in Algebraic Topology

Identifiers

DOI
10.48550/arxiv.1204.2051

Citations and references

Cited by 08 references
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