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Please use this identifier to cite or link to this item: http://hdl.handle.net/10023/2136
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Title: On generators and presentations of semidirect products in inverse semigroups
Authors: Dombi, Erzsebet Rita
Ruskuc, Nik
Keywords: Inverse semigroups
Semidirect products
Generators
Presentations
Groups
Semilattices
Actions
Finite generation
Presentability
Monoids
Issue Date: Jun-2009
Citation: Dombi , E R & Ruskuc , N 2009 , ' On generators and presentations of semidirect products in inverse semigroups ' Bulletin of the Australian Mathematical Society , vol 79 , no. 3 , pp. 353-365 .
Abstract: In this paper we prove two main results. The first is a necessary and sufficient condition for a semidirect product of a semilattice by a group to be finitely generated. The second result is a necessary and sufficient condition for such a semidirect product to be finitely presented.
Version: Publisher PDF
Status: Peer reviewed
URI: http://hdl.handle.net/10023/2136
http://journals.cambridge.org/action/displayFulltext?type=1&fid=5569060&jid=BAZ&volumeId=79&issueId=03&aid=5569052
DOI: http://dx.doi.org/10.1017/S0004972708000890
ISSN: 0004-9727
Type: Journal article
Rights: (c) 2009 Australian Mathematical Society
Appears in Collections:Mathematics & Statistics Research
University of St Andrews Research
Pure Mathematics Research



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