2022/08/17 by Kaique Matias de Andrade Roberto, Roberto, Kaique Matias de Andrade, Hugo Luiz Mariano +3
Mathematics · Computer Science · #Rings, Modules, and Algebras #Polynomial and algebraic computation #Algebraic Geometry and Number Theory
paper · pdf · doi:10.48550/arxiv.2208.08537
Building over recent results, we expand the basic theory of algebraic extensions to the realm of superfields -a field with multivalued sum and product-, showing that every superfield has a (unique up to isomorphism) strong algebraic extension to a superfield that is algebraically closed. Moreover we show that every infinite algebraically closed superfield admits quantifier elimination procedure.