Classifications 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, UzbekistanB. A. OmirovInstitute 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\nisomorphism. Moreover, the classification of complex Zinbiel algebras dimensions\n$\\leq 3$ is extended up to dimension 4.
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