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Classi cations of some classes of Zinbiel algebras

J. Q. AdashevInstitute of Mathematics and Information Technologies of Academy of Sciences, 29 F. Hodjaev Street, 100125 Tashkent, UzbekistanAbror KhudoyberdiyevInstitute of Mathematics and Information Technologies of Academy of Sciences, 29 F. Hodjaev Street, 100125 Tashkent, Uzbekistan
ABI

Abstract

In this work, the nul-filiform and filiform Zinbiel algebras are described up to isomorphism.Moreover, the classification of complex Zinbiel algebras dimensions ≤ 3 is extended up to dimension 4.

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