Ersebet R. Dombi

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HNN extensions of inverse semigroups, where the associated inverse subsemigroups are order ideals of the base, are defined by means of a construction based upon the isomorphism between the categories of inverse semigroups and inductive groupoids. The resulting HNN extension may conveniently be described by an inverse semigroup presentation, and we determine(More)
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. AMS 2000 Mathematics subject classification: Primary 20M18(More)
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