The Euler characteristic and valuations on MV-algebras |
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| Authors: | Daniele Mundici Andrea Pedrini |
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| Affiliation: | 1. Department of Mathematics and Computer Science “Ulisse Dini”, University of Florence, viale Morgagni 67/A, 50134, Florence, Italy
2. Department of Mathematics F. Enriques, University of Milan, via Cesare Saldini 50, 20133, Milan, Italy
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| 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. |
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