Silva, Pedro V.Soares, Filipa2017-07-122017-07-122016SILVA, Pedro V.; SOARES, Filipa. - Howson's property for semidirect products of semilattices by groups. Communications in Algebra. ISSN 0092-7872. Vol. 44, N.º 6, (2016), pp. 2482–24940092-7872http://hdl.handle.net/10400.21/7268An 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 of a group G on a semilattice E, it is proved that E*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.engE-unitary inverse semigroupHowson’s theoremlocally finite actionsemidirect product of a semilattice by a group.journal article10.1080/00927872.2015.1053903