CANCELLATIVE AND MALCEV PRESENTATIONS FOR FINITE REES INDEX SUBSEMIGROUPS AND EXTENSIONS-Reference-Cited by-同舟云学术

CANCELLATIVE AND MALCEV PRESENTATIONS FOR FINITE REES INDEX SUBSEMIGROUPS AND EXTENSIONS

Published:2008-02 Issue:1 Volume:84 Page:39-61
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

CAIN ALAN J.,ROBERTSON EDMUND F.,RUŠKUC NIK

Abstract

AbstractIt 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.)

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference23 articles.

1. Word Processing in Groups

2. Automorphismes intérieurs d'un semi-groupe

3. Subsemigroups of virtually free groups: finite Malcev presentations and testing for freeness

4. Subsemigroups of groups: presentations, Malcev presentations, and automatic structures

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