Left-right noncommutative Poisson algebras

José Casas; Tamar Datuashvili; Manuel Ladra

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Morphisms in the category of finite-dimensional absolute valued algebras

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This is a study of morphisms in the category of finite-dimensional absolute valued algebras whose codomains have dimension four. We begin by citing and transferring a classification of an equivalent category. Thereafter, we give a complete description of morphisms from one-dimensional algebras, partly via solutions of real polynomials, and a complete, explicit description of morphisms from two-dimensional algebras. We then give an account of the reducibility of the morphisms, and for...