Every finitely presented MV-algebra A has a unique idempotent valuation E assigning value 1 to every basic element of A. For each a ∈ A, E(a) turns out to coincide with the Euler characteristic of the open set of maximal ideals m of A such that a/m is nonzero. © 2014 Versita Warsaw and Springer-Verlag Wien.

The Euler characteristic and valuations on MV-algebras / D. Mundici, A. Pedrini. - In: MATHEMATICA SLOVACA. - ISSN 0139-9918. - 64:3(2014), pp. 563-570. [10.2478/s12175-014-0226-6]

The Euler characteristic and valuations on MV-algebras

D. Mundici
;
A. Pedrini
Ultimo
2014

Abstract

Every finitely presented MV-algebra A has a unique idempotent valuation E assigning value 1 to every basic element of A. For each a ∈ A, E(a) turns out to coincide with the Euler characteristic of the open set of maximal ideals m of A such that a/m is nonzero. © 2014 Versita Warsaw and Springer-Verlag Wien.
additivity; basis; duality; Euler characteristic; finite presentation; inclusion-exclusion; Morse theory; MV-algebra; rational polyhedron; Turing computable valuation; valuation
Settore MAT/01 - Logica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/251393
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