A View Toward Homomorphisms and CV-Polynomials Between Double Ore Extensions

Motivated by the theory of homomorphisms and change-of-variable polynomials (cv-polynomials) of Ore extensions, the role of double Ore extensions in the classification of Artin-Schelter regular algebras of dimension four, and the absence of inclusions between the classes of all double Ore extensions of an algebra and of all two-step iterated Ore extensions of the same algebra, we present a first approach toward a theory of homomorphisms and cv-polynomials between double Ore extensions. We obtain