In this article, first we generalize from the MV algebra [0,1] to an arbitrary MV algebra A the well-known Galois connection (V,I) between the powerset of each power of [0,1] and the powerset of the corresponding free MV algebra. Then, in analogy with the Nullstellensatz of classical algebraic geometry, we study the closure operators obtained by composing the functors V and I.
On generalizing the Nullstellensatz for MV algebras
DI NOLA, Antonio;LENZI, Giacomo
2015-01-01
Abstract
In this article, first we generalize from the MV algebra [0,1] to an arbitrary MV algebra A the well-known Galois connection (V,I) between the powerset of each power of [0,1] and the powerset of the corresponding free MV algebra. Then, in analogy with the Nullstellensatz of classical algebraic geometry, we study the closure operators obtained by composing the functors V and I.File in questo prodotto:
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