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

Annotatsiya

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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Mavzular

Algebraic structures and combinatorial models Advanced Topics in Algebra Homotopy and Cohomology in Algebraic Topology

Identifikatorlar

DOI: 10.48550/arxiv.1204.2051

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