The strong version of the Poincaré recurrence theorem states that for any probability space , any -measure preserving transformation and any almost every point of returns to 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].
@article{702909, title = {A strengthening of the Poincar\'e recurrence theorem on MV-algebras}, booktitle = {Applications of Mathematics 2012}, series = {GDML\_Books}, publisher = {Institute of Mathematics AS CR}, address = {Prague}, year = {2012}, pages = {236-242}, mrnumber = {MR3204415}, zbl = {1313.60001}, url = {http://dml.mathdoc.fr/item/702909} }
Riečan, Beloslav. A strengthening of the Poincaré recurrence theorem on MV-algebras, dans Applications of Mathematics 2012, GDML_Books, (2012), pp. 236-242. http://gdmltest.u-ga.fr/item/702909/