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Representation of perfect and local MV-algebras

In: Mathematica Slovaca, vol. 61, no. 3
Brunella Gerla - Alessio Russo - Luca Spada
Detaily:
Rok, strany: 2011, 327 - 340
Kľúčové slová:
MV-algebras, perfect MV-algebras, representation theorems, infinitesimal elements
O článku:
We describe representation theorems for local and perfect MV-algebras in terms of ultraproducts involving the unit interval $[0,1]$. Furthermore, we give a representation of local Abelian $\ell$ groups with strong unit as quasi-constant functions on an ultraproduct of the reals. All the above theorems are proved to have a uniform version, depending only on the cardinality of the algebra to be embedded, as well as a definable construction in ZFC. The paper contains both known and new results and provides a complete overview of representation theorems for such classes.
Ako citovať:
ISO 690:
Gerla, B., Russo, A., Spada, L. 2011. Representation of perfect and local MV-algebras. In Mathematica Slovaca, vol. 61, no.3, pp. 327-340. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0015-4

APA:
Gerla, B., Russo, A., Spada, L. (2011). Representation of perfect and local MV-algebras. Mathematica Slovaca, 61(3), 327-340. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0015-4
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