A NOTE ON THE HOWSON PROPERTY IN INVERSE SEMIGROUPS
PETER R. JONES · Bulletin of the Australian Mathematical Society · 2016
An algebra has the Howson property if the intersection of any two finitely generated subalgebras is again finitely generated. A simple necessary and sufficient condition is given for the Howson property to hold on an inverse semigroup with finitely many idempotents. In addition, it is shown that any monogenic inverse semigroup has the Howson property.