Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions
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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 . DOI: 10.1017/S1446788708000086
Journal of the Australian Mathematical Society
(c) 2008 Australian Mathematical Society
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