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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Communicated by Anatolij Dvurečenskij
to Ján Jakubík, on his 90th birthday
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Mundici, D., Pedrini, A. The Euler characteristic and valuations on MV-algebras. Math. Slovaca 64, 563–570 (2014). https://doi.org/10.2478/s12175-014-0226-6
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DOI: https://doi.org/10.2478/s12175-014-0226-6