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ALGEBRAIC GEOMETRY FOR MV-ALGEBRAS

Published online by Cambridge University Press:  12 December 2014

LAWRENCE P. BELLUCE ,
ANTONIO DI NOLA  and
GIACOMO LENZI
LAWRENCE P. BELLUCE
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF BRITISH COLUMBIA VANCOUVER, B. C., CANADAE-mail:belluce@math.ubc.ca
ANTONIO DI NOLA
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF SALERNO 84084 FISCIANO (SA), ITALYE-mail:adinola@unisa.itE-mail:gilenzi@unisa.it
GIACOMO LENZI
Affiliation:
DEPARTMENT OF MATHEMATICS UNIVERSITY OF SALERNO 84084 FISCIANO (SA), ITALYE-mail:adinola@unisa.itE-mail:gilenzi@unisa.it
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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 and MV polynomial functions on a given MV algebra.

Keywords

Algebraic GeometryLukasiewicz LogicMV-algebras
Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 4 , December 2014 , pp. 1061 - 1091
Copyright
Copyright © The Association for Symbolic Logic 2014 

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