Representation of MV-algebras by regular ultrapowers of [0, 1]
نویسندگان
چکیده
We present a uniform version of Di Nola Theorem, this enables to embed all MV-algebras of a bounded cardinality in an algebra of functions with values in a single non-standard ultrapower of the real interval [0, 1]. This result also implies the existence, for any cardinal α, of a single MValgebra in which all infinite MV-algebras of cardinality at most α embed. Recasting the above construction with iterated ultrapowers, we show how to construct such an algebra of values in a definable way, thus providing a sort of “canonical” set of values for the functional representation.
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ورودعنوان ژورنال:
- Arch. Math. Log.
دوره 49 شماره
صفحات -
تاریخ انتشار 2010