Research@StAndrews
 
The University of St Andrews

Research@StAndrews:FullText >
University of St Andrews Research >
University of St Andrews Research >
University of St Andrews Research >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10023/2138
This item has been viewed 6 times in the last year. View Statistics

Files in This Item:

File Description SizeFormat
JAustMathSoc84CancellativeMalcevPresentations.pdf213.29 kBAdobe PDFView/Open
Title: Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions
Authors: Cain, Alan James
Robertson, Edmund Frederick
Ruskuc, Nik
Keywords: Maclev presentation
Cancellative
Subsemigroup
Finite index
Rewriting
QA Mathematics
Issue Date: Feb-2008
Citation: Cain , A J , Robertson , E F & Ruskuc , N 2008 , ' Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions ' Journal of the Australian Mathematical Society , vol 84 , no. 1 , pp. 39-61 .
Abstract: It is known that, for semigroups, the property of admitting a finite presentation is preserved on passing to subsemigroups and extensions of finite Rees index. The present paper shows that the same holds true for Malcev, cancellative, left-cancellative and right-cancellative presentations. (A Malcev (respectively, cancellative, left-cancellative, right-cancellative) presentation is a presentation of a special type that can be used to define any group-embeddable (respectively, cancellative, left-cancellative, right-cancellative) semigroup.).
Version: Publisher PDF
Status: Peer reviewed
URI: http://hdl.handle.net/10023/2138
DOI: http://dx.doi.org/10.1017/S1446788708000086
ISSN: 1446-7887
Type: Journal article
Rights: (c) 2008 Australian Mathematical Society
Appears in Collections:Centre for Interdisciplinary Research in Computational Algebra (CIRCA) Research
University of St Andrews Research
Applied Mathematics Research
Pure Mathematics Research



This item is protected by original copyright

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

DSpace Software Copyright © 2002-2012  Duraspace - Feedback
For help contact: Digital-Repository@st-andrews.ac.uk | Copyright for this page belongs to St Andrews University Library | Terms and Conditions (Cookies)