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.

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