Geodesic
The quotient semigroup of a semigroup that is a semilattice of groups†
Glasgow mathematical journal, Tome 12 (1971) no. 1, pp. 18-23

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

Let Q(S) denote the maximal right quotient semigroup of the semigroup S as defined in [4]. In this paper, we initiate a study of Q(S) when S is a semilattice of groups. A structure theorem for such semigroups is given by Theorem 4.11 of [2]. 
McMorris, F. R. The quotient semigroup of a semigroup that is a semilattice of groups†. Glasgow mathematical journal, Tome 12 (1971) no. 1, pp. 18-23. doi: 10.1017/S0017089500001099
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[1] 1.Berthiaume, P., The injective envelope of 5-sets, Canad. Math. Bull. 10 (1967), 261–273. Google Scholar | DOI

[2] 2.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Vol. 1, Math. Surveys of the Amer. Math. Soc., 7 (Providence, R. I., 1961). Google Scholar

[3] 3.Lambek, J., Lectures on rings and modules (Blaisdell, 1966). Google Scholar

[4] 4.McMorris, F. R., On quotient semigroups; submitted. Google Scholar

[5] 5.Utumi, Y., On quotient rings, Osaka Math. J. 8 (1956), 1–18. Google Scholar

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