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
ABI
Аннотация
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 $n-3.$
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