Geodesic
Finitely generated commutative semigroups
Glasgow mathematical journal, Tome 11 (1970) no. 2, pp. 134-151

Voir la notice de l'article provenant de la source Cambridge University Press

Since all the semigroups considered in this paper are commutative, we shall use the terms “semigroup” and “group” where we actually mean “commutative semigroup” and “commutative group”. Some basic results from the theory of semigroups are required and will be used without explicit mention; these results may be found in [1, § 4.3]. We shall denote the additive semigroups of integers, positive integers, negative integers, positive rationals by Z, Z+, Z-, Q+ respectively. 
McAlister, D. B.; O'Carroll, L. Finitely generated commutative semigroups. Glasgow mathematical journal, Tome 11 (1970) no. 2, pp. 134-151. doi: 10.1017/S0017089500000987
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