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, coutabledimensional, zero-characteristic case are classified.