Starting in 2001, Kemprasit and her students showed that certain semigroups of (linear) transformations defined on a set (or on a vector space) belong to BQ : that is, the class of semigroups S in which every bi-ideal of S is a quasi-ideal of S . Here, we unify that work and show that some of it can be derived from a result for abstract semigroups. We also extend their work, and that of Mendes-Gonçalves and Sullivan, to other examples of transformation semigroup.
|Journal||Acta Scientiarum Mathematicarum|
|Publication status||Published - 2009|