Strongly F*-inverse covers for tiling semigroups

E. R. Dombi; N. D. Gilbert

doi:10.1007/s10998-009-0185-9

Strongly F*-inverse covers for tiling semigroups

E. R. Dombi, N. D. Gilbert

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. © Akadémiai Kiadó, Budapest.

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 - Nov 2009

Keywords

HNN extension of inverse semigroups
Inverse semigroups
Strongly E*-unitary inverse semigroups
Strongly F*-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. {\textcopyright} Akad{\'e}miai Kiad{\'o}, Budapest.",

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KW - Strongly E-unitary inverse semigroups

KW - Strongly F-inverse semigroups

KW - Tiling semigroups

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JF - Periodica Mathematica Hungarica

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ER -

Strongly F*-inverse covers for tiling semigroups

Abstract

Keywords

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