12/12/2016, 15:00 — 16:00 — Sala P4.35, Pavilhão de Matemática
Nasir Sohail, Wilfrid Laurier University
Epimorphisms and amalgamation for ordered monoids
I shall introduce the amalgamation problem for partially ordered monoids (briefly pomonoids), and discuss its connection with dominions and epimorphisms. Examples will be given to show that amalgamation of monoids is subjected to severe restrictions if a (compatible) partial order is introduced on top of the binary operation. I shall then show that the introduction of order, however, does not affect the special amalgamation and (hence) epimorphisms in the sense that an epi in the 2-category of pomonoids is necessarily an epi in the (underlying) category of monoids.
