
doi: 10.1017/jsl.2014.53
handle: 11386/4419255
AbstractIn this paper we try to apply universal algebraic geometry to MV algebras, that is, we study “MV algebraic sets” given by zeros of MV polynomials, and their “coordinate MV algebras”. We also relate algebraic and geometric objects with theories and models taken in Łukasiewicz many valued logic with constants. In particular we focus on the structure of MV polynomials and MV polynomial functions on a given MV algebra.
MV-algebras, Algebraic Geometry; Lukasiewicz Logic; MV-algebras, Generalizations (algebraic spaces, stacks), Łukasiewicz logic, Other algebras related to logic, algebraic geometry
MV-algebras, Algebraic Geometry; Lukasiewicz Logic; MV-algebras, Generalizations (algebraic spaces, stacks), Łukasiewicz logic, Other algebras related to logic, algebraic geometry
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