In 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 andMV polynomial functions on a given MV algebra.

Algebraic geometry for MV-algebras

DI NOLA, Antonio;LENZI, Giacomo
2014

Abstract

In 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 andMV polynomial functions on a given MV algebra.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4419255
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