Geodesic
Some Remarks on Semigroup Presentations
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1018-1026

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Let a semigroup A be given by generators a1, a2, ... , ad and defining relations u 1 = 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 
Neumann, B. H. Some Remarks on Semigroup Presentations. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1018-1026. doi: 10.4153/CJM-1967-093-2
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