Abstract
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.
Original language | English |
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Pages (from-to) | 185-202 |
Number of pages | 18 |
Journal | Periodica Mathematica Hungarica |
Volume | 59 |
Issue number | 2 |
DOIs | |
Publication status | Published - Dec 2009 |
Keywords
- inverse semigroups
- tiling semigroups