Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions
MetadataShow full item record
Altmetrics Handle Statistics
Altmetrics DOI Statistics
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.).
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 . https://doi.org/10.1017/S1446788708000086
Journal of the Australian Mathematical Society
(c) 2008 Australian Mathematical Society
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.