We introduce the notion of path extensions of tiling semigroups and investigate their properties. We show that the path extension of a tiling semigroup yields a strongly F*-inverse cover of the tiling semigroup and that it is isomorphic to an HNN* extension of its semilattice of idempotents. © Akadémiai Kiadó, Budapest.
- HNN extension of inverse semigroups
- Inverse semigroups
- Strongly E*-unitary inverse semigroups
- Strongly F*-inverse semigroups
- Tiling semigroups