Semigroup algebra of a restriction semigroup with an inverse skeleton

We investigate some classes of semigroup algebras with respect to (semi)primeness and (semi)primitivity. We do so by extending the techniques developed by Munn for the study of semigroup algebras of inverse semigroups. Restriction and ample semigroups are considered. This is joint work with Gracinda M.S. Gomes and Filipa Soares.