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2010 Classifications of some classes of Zinbiel algebras
J. Q. Adashev, A. Kh. Khudoyberdiyev, B. A. Omirov
J. Gen. Lie Theory Appl. 4: 1-10 (2010). DOI: 10.4303/jglta/S090601


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


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J. Q. Adashev. A. Kh. Khudoyberdiyev. B. A. Omirov. "Classifications of some classes of Zinbiel algebras." J. Gen. Lie Theory Appl. 4 1 - 10, 2010.


Published: 2010
First available in Project Euclid: 6 August 2010

zbMATH: 1241.17003
MathSciNet: MR2645324
Digital Object Identifier: 10.4303/jglta/S090601

Primary: 17A32

Keywords: Leibniz algebras , Nonassociative algebras , Nonassociative rings

Rights: Copyright © 2010 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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