In: Mathematica Slovaca, vol. 64, no. 3
Daniele Mundici - Andrea Pedrini
Detaily:
Rok, strany: 2014, 563 - 570
Kľúčové slová:
Euler characteristic, valuation, MV-algebra, basis, rational polyhedron, finite presentation, duality, inclusion-exclusion, additivity, Morse theory, Turing computable valuation
O článku:
Every finitely presented MV-algebra $A$ has a unique idempotent valuation $\mathsf{E}$ assigning value $1$ to every basic element of $A$. For each $a\in A$, $\mathsf{E}(a)$ turns out to coincide with the Euler characteristic of the open set of maximal ideals $\mathfrak m$ of $A$ such that $a/\mathfrak m$ is nonzero.
Ako citovať:
ISO 690:
Mundici, D., Pedrini, A. 2014. The Euler characteristic and valuations on MV-algebras. In Mathematica Slovaca, vol. 64, no.3, pp. 563-570. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0226-6
APA:
Mundici, D., Pedrini, A. (2014). The Euler characteristic and valuations on MV-algebras. Mathematica Slovaca, 64(3), 563-570. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0226-6
O vydaní: