Tying up baric algebras

Year, pages: 2012, 865 - 874

Given two baric algebras $(A₁,ω₁)$ and $(A₂,ω₂)$ we describe a way to define a new baric algebra structure over the vector space $A₁\oplus A₂$, which we shall denote $(A₁\bowtie A₂,ω₁\bowtieω₂)$. We present some easy properties of this construction and we show that in the commutative and unital case it preserves indecomposability. Algebras of the form $A₁\bowtie A₂$ in the associative, coutable-dimensional, zero-characteristic case are classified.

Oller-Marcér, A. 2012. Tying up baric algebras. In Mathematica Slovaca, vol. 62, no.5, pp. 865-874. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0051-8

Oller-Marcér, A. (2012). Tying up baric algebras. Mathematica Slovaca, 62(5), 865-874. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0051-8