## Journal of Generalized Lie Theory and Applications

### A Class of Nonassociative Algebras Including Flexible and Alternative Algebras, Operads and Deformations

E Remm and M Goze

#### 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.

#### Article information

Source
J. Gen. Lie Theory Appl., Volume 9, Number 2 (2015), 6 pages.

Dates
First available in Project Euclid: 2 February 2016

https://projecteuclid.org/euclid.jglta/1454422009

Digital Object Identifier
doi:10.4172/1736-4337.1000235

Mathematical Reviews number (MathSciNet)
MR3642246

Zentralblatt MATH identifier
06538946

#### Citation

Remm, E; Goze, M. A Class of Nonassociative Algebras Including Flexible and Alternative Algebras, Operads and Deformations. J. Gen. Lie Theory Appl. 9 (2015), no. 2, 6 pages. doi:10.4172/1736-4337.1000235. https://projecteuclid.org/euclid.jglta/1454422009