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| Title: | Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions |
| Authors: | Cain, Alan James
Robertson, Edmund E.
Ruskuc, Nik |
| Keywords: | Maclev presentation
Cancellative
Subsemigroup
Finite index
Rewriting
QA Mathematics |
| Issue Date: | Feb-2008 |
| Citation: | Cain , A J , Robertson , E E & 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: | University of St Andrews Research
Applied Mathematics Research
Pure Mathematics Research
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