Guzzo, Henrique; Labra, Alicia(Universidad Catolica del Norte, 2016)
In this paper we work with the variety of commutative algebras satisfying the identity β((x2y)x - ((yx)x)x)+γ(x3y - ((yx)x)x) = 0, where β, γ are scalars. They are called generalized almost-Jordan algebras. We prove that ...
In this article the universal Poisson enveloping algebra for a binary-Lie algebra is constructed. Taking a basis B{double-struck} of a binary-Lie algebra B, we consider the symmetric algebra S(B) of polynomials in the ...
Several classes of baric algebras studied by different authors will be given a unified treatment, using the technique of gametization. Most of these algebras will be shown, using straightforward arguments, to be either ...