Separation axioms in paratopological groups

The goal of this presentation is to offer a comparative examination of the separation properties of two types of topological algebra objects: topological and paratopological groups. While all of the separation axioms in the narrower class of topological groups, to , coincide, the situation in paratopological groups is far more problematic and merits further investigation. We will present a few examples and results that help to understand the similarities and differences between the two classes of groups.