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2015 A Class of Nonassociative Algebras Including Flexible and Alternative Algebras, Operads and Deformations
E Remm, M Goze
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J. Gen. Lie Theory Appl. 9(2): 1-6 (2015). DOI: 10.4172/1736-4337.1000235

Abstract

There exists two types of nonassociative algebras whose associator satisfies a symmetric relation associated with a 1-dimensional invariant vector space with respect to the natural action of the symmetric group ${\Sigma _3}$. The first one corresponds to the Lie-admissible algebras and this class has been studied in a previous paper of Remm and Goze. Here we are interested by the second one corresponding to the third power associative algebras.

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E Remm. M Goze. "A Class of Nonassociative Algebras Including Flexible and Alternative Algebras, Operads and Deformations." J. Gen. Lie Theory Appl. 9 (2) 1 - 6, 2015. https://doi.org/10.4172/1736-4337.1000235

Information

Published: 2015
First available in Project Euclid: 2 February 2016

zbMATH: 06538946
MathSciNet: MR3642246
Digital Object Identifier: 10.4172/1736-4337.1000235

Keywords: alternative algebras , Nonassociative algebras , operads , Third power associative algebras

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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Vol.9 • No. 2 • 2015
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