Affiliation:
1. Centro Universitario de la Defensa, Academia General Militar, Ctra. de Huesca s/n, 50090, Zaragoza, Spain
Abstract
Abstract
Given two baric algebras (A
1, ω
1) and (A
2, ω
2) we describe a way to define a new baric algebra structure over the vector space A
1 ⊕ A
2, which we shall denote (A
1 ⋈ A
2, ω
1 ⋈ ω
2). 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 A
1 ⋈ A
2 in the associative, coutable-dimensional, zero-characteristic case are classified.