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ALGEBRAIC GEOMETRY FOR MV-ALGEBRAS
The Journal of Symbolic Logic, 2014AbstractIn 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.
Lawrence P. Belluce +2 more
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In this paper we introduce an extension of MV-algebras obtained by adding a binary operation and a constant, with the aim of modelling composition of functions. The variety of Composition MV-algebra (CMV-algebra, for short) is defined and some results regarding ideals and congruences are stated.
DI NOLA, Antonio, FLONDOR P, GERLA B.
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MV-algebras with pseudo MV-valuations
Journal of Intelligent & Fuzzy Systems, 2019The concept of pseudo MV-valuations is proposed in the paper, and some related characterizations of pseudo MV-valuations are investigated. The relationships between the pseudo MV-valuations of homomorphic and isomorphic MV-algebras and the relationships between their kernels are presented.
Yongwei Yang 0001, Kuanyun Zhu
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