
details
Title
Some classes of factorizable semigroups
Abstract [Almost] factorizable inverse monoids [semigroups] play an important rule in the theory of inverse semigroups (see for example [2]). The
notion of “factorizable” and “almost factorizable” coincides for inverse
monoids. A couple of crucial results for inverse semigroups S are the
following:
a) S is almost factorizable iff S is an idempotent separating image
of a semidirect product G*Y of a semilattice Y by a group G;
b) S is isomorphic to some G*Y iff S is both Eunitary and almost
factorizable.
In the first part of this talk we will present the concepts involved
in the inverse case, and in second we shall show how this theory of
[almost] factorizable inverse monoids [semigroups] extend to the wider
classes of weakly ample monoids [semigroups], which are a type of
(2, 1, 1)algebras that include, in particular, the inverse semigroups.
These latter results appear in a joint paper with M´aria B. Szendrei [4].
AbstractCoimbra.pdf
Speaker(s)
Gracinda Gomes (CAUL/Mat. FCUL)
Date
June 12, 2007 Time 14:45 Room
Room 2.4

