Nasir Sohail,Institute of Mathematics, University of Tartu, Estonia
“The strong representation extension property and amalgamation for pomonoids”
In previous two talks I discussed some necessary conditions for the embedding of semigroup amalgams. In this seminar I shall discuss a sufficient condition, namely Strong Representation Extension Property. Using this property I shall show that pogroups are amalgamation bases in the class of all pomonoids. Using the amalgamated coproducts I shall also prove that the class of pogroups has the amalgamation property. Lastly I shall introduce some open questions.
Note: This (last of the series) talk will be independent of the second seminar.