Geodesic
Completely injective semigroups with central idempotents
Glasgow mathematical journal, Tome 10 (1969) no. 1, pp. 16-20

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

A right [left] unitary S-system is a set M with right [left] operators in a semigroup S with 1, where x1 = x [1x = x] for all x ∈ M. We define a semigroup S with 1 to be completely right [left] injective provided that every right [left] unitary S-system is injective. The main purpose of this paper is to determine a structure for completely right [left] injective semigroups whose idempotents are in the centre. 
Feller, E. H.; Gantos, R. L. Completely injective semigroups with central idempotents. Glasgow mathematical journal, Tome 10 (1969) no. 1, pp. 16-20. doi: 10.1017/S0017089500000471
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[1] 1.Berthiaume, P., The injective hull of S-sets, Canad. Math. Bull. 10, no. 2 (1967), 261–273. Google Scholar | DOI

[2] 2.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Amer. Math. Soc. Surveys, No. 7 (Providence, R.I., 1961). Google Scholar

[3] 3.Feller, E. H. and Gantos, R. L., Indecomposable and injective S-systems; to appear in Math. Nachr. Google Scholar

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