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arxiv: 1401.5640 · v1 · pith:BHV6VIGYnew · submitted 2014-01-22 · 🧮 math.RA

The Euler valuation on MV-algebras

classification 🧮 math.RA
keywords elementeulereveryvaluationassigningbasiccharacteristiccoincide
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Every finitely presented MV-algebra A has a unique idempotent valuation E assigning value 1 to every basic element of A. For each element a of 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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