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Poincaré recurrence theorem; probability space; measure preserving transformation; MV-algebra
The strong version of the Poincaré recurrence theorem states that for any probability space $(\Omega, \mathcal S, P)$, any $P$-measure preserving transformation $T:\Omega \to \Omega$ and any $A \in \mathcal S$ almost every point of $A$ returns to $A$ infinitely many times. In [8] (see also [4]) the theorem has been proved for MV-algebras of some type. The present paper contains a remarkable strengthening of the result stated in [8].
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