On generators and presentations of semidirect products in inverse semigroups
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.
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 . DOI: 10.1017/S0004972708000890
Version
Publisher PDF
Publication
Bulletin of the Australian Mathematical Society
Status
Peer reviewed
URI
http://hdl.handle.net/10023/2136http://www.scopus.com/inward/record.url?scp=77957223891&partnerID=8YFLogxK
http://journals.cambridge.org/action/displayFulltext?type=1&fid=5569060&jid=BAZ&volumeId=79&issueId=03&aid=5569052
ISSN
0004-9727Type
Journal article
Rights
(c) 2009 Australian Mathematical Society
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