Strongly F*-inverse covers for tiling semigroups

E Dombi; N.D. Gilbert

doi:10.1007/s10998-009-0185-9

Strongly F*-inverse covers for tiling semigroups

E Dombi
, N.D. Gilbert

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	185-202
Number of pages	18
Journal	Periodica Mathematica Hungarica
Volume	59
Issue number	2
DOIs	https://doi.org/10.1007/s10998-009-0185-9
Publication status	Published - Dec 2009

Keywords

inverse semigroups
tiling semigroups

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10.1007/s10998-009-0185-9

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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.",

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AB - 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.

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JO - Periodica Mathematica Hungarica

JF - Periodica Mathematica Hungarica

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ER -

Strongly F*-inverse covers for tiling semigroups

Abstract

Keywords

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