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math.RA2023
On polynomial completeness properties of finite Mal'cev algebras
Bernardo Rossi
Polynomial completeness results aim at characterizing those functions that are induced by polynomials. Each polynomial function is congruence preserving, but the opposite need not…
math.RA2023
On when the union of two algebraic sets is algebraic
Erhard Aichinger, Mike Behrisch, Bernardo Rossi
In universal algebraic geometry, an algebra is called an equational domain if the union of two algebraic sets is algebraic. We characterize equational domains, with respect to poly…