ABSTRACT
We give presentations, in terms of generators and relations, for the monoids of singular braids on closed surfaces. The proof of the validity of these presentations can also be applied to verify, in a new way, the presentations given by Birman for the monoids of Singular Artin braids.
ACKNOWLEDGMENTS
I wish to thank Prof. Orlando Neto, for giving me the opportunity to enjoy the excellent working conditions I found at the Centro de Matem´atica e Aplicaoes Fundamentais of the University of Lisbon, where this paper was written. Partially supporte d by DGESIC-PB97-0723 and by the european network TMR Sing. Eq. Diff. et Feuill.