Abstract
In this chapter we establish a lower bound for the dimension of the convex set of faithful invariant states in every finitely presented MV-algebra, and we give a purely MV-algebraic generalization of the Lebesgue integral of McNaughton functions on rational polyhedra. Since every faithful state of an MV-algebra
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References
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© 2011 Springer Science+Business Media B.V.
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Mundici, D. (2011). The Lebesgue State and the Completion of \({\mathsf {FREE}}_n\) . In: Advanced Łukasiewicz calculus and MV-algebras. Trends in Logic, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0840-2_16
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DOI: https://doi.org/10.1007/978-94-007-0840-2_16
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Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0839-6
Online ISBN: 978-94-007-0840-2
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