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Abstract
It is proved that the number of numerical semigroups with a fixed number n of star operations is finite if n > 1. The result is then extended to the class of analytically irreducible residually rational one-dimensional Noetherian rings with finite residue field and integral closure equal to a fixed discrete valuation domain.
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ACKNOWLEDGMENTS
I would like to thank Marco Fontana for his careful reading and for his many advices. I also thank the refereee for his/her careful reading of the manuscript and for his/her suggestions.
Notes
Communicated by S. Bazzoni.