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Presentations of factorizable inverse monoids

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Easdown, D and East, J and FitzGerald, DG (2005) Presentations of factorizable inverse monoids. Acta Universitatis Szegediensis, Acta Scientiarum Mathematicarum, 71 (3-4). pp. 509-520.

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Abstract

It is well-known that an inverse monoid is factorizable if and only if it is a homomorphic
image of a semidirect product of a semilattice (with identity) by a group.
We use this structure to describe a presentation of an arbitrary factorizable inverse
monoid in terms of presentations of its group of units and semilattice of idempotents,
together with some other data. We apply this theory to quickly deduce a well known
presentation of the symmetric inverse monoid on a nite set.

Item Type: Article
Keywords: Factorizable inverse monoid, presentations, symmetric inverse monoid
Journal or Publication Title: Acta Universitatis Szegediensis, Acta Scientiarum Mathematicarum
Page Range: pp. 509-520
Date Deposited: 23 Aug 2007
Last Modified: 18 Nov 2014 03:19
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