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. PedriniUltimo
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.
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