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Some Remarks on Semigroup Presentations

Published online by Cambridge University Press:  20 November 2018

B. H. Neumann
B. H. Neumann*
Affiliation:
The Australian National University, Canberra
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Let a semigroup A be given by generators a1, a2, … , ad and defining relations u1 = v1, u2 = v2, … , ue = ve between these generators, the ui, vi being words in the generators. We then have a presentation of A, and write

The same generators with the same relations can also be interpreted as the presentation of a group, for which we write

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 1018 - 1026
Copyright
Copyright © Canadian Mathematical Society 1967

References

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