Preprint

Naturally graded Zinbiel algebras with nilindex $n-3$

J. Q. AdashevInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, F. Hodjaev srt., 100125, Tashkent, UzbekistanL.M. CamachoDpto. 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, SpainI. A. KarimjanovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, F. Hodjaev srt., 100125, Tashkent, Uzbekistan

arXiv (Cornell University)repository2013en

ABI

Abstract

We present the classification of a subclass of $n$-dimensional naturally graded Zinbiel algebras. This subclass has the nilindex $n-3$ and the characteristic sequence $(n-3,2,1).$ In fact, this result completes the classification of naturally graded Zinbiel algebras of nilindex $n-3.$

Topics

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

Identifiers

DOI: 10.48550/arxiv.1303.5881

Citations and references

Cited by 03 references

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