%0 Journal Article
%T Howson's property for semidirect products of semilattices by groups
%A Pedro V. Silva
%A Filipa Soares
%J Mathematics
%D 2014
%I arXiv
%X An inverse semigroup $S$ is a Howson inverse semigroup if the intersection of finitely generated inverse subsemigroups of $S$ is finitely generated. Given a locally finite action $\theta$ of a group $G$ on a semilattice $E$, it is proved that $E \ast_{\theta} G$ is a Howson inverse semigroup if and only if $G$ is a Howson group. It is also shown that this equivalence fails for arbitrary actions.
%U http://arxiv.org/abs/1412.3048v1