Geodesic
The Injective Envelope of S-Sets
Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 261-273

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If S is a semigroup, then an S-set AS is a set A together with a representation of S by mappings of A into itself. In this article, the theory of injective envelopes is carried from R-modules to S-sets. These results are known to hold in every Grothendieck category, but the category EnsS of (right) S-sets is not even additive. 
Berthiaume, P. The Injective Envelope of S-Sets. Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 261-273. doi: 10.4153/CMB-1967-026-1
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     title = {The {Injective} {Envelope} of {S-Sets}},
     journal = {Canadian mathematical bulletin},
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     year = {1967},
     volume = {10},
     number = {2},
     doi = {10.4153/CMB-1967-026-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-026-1/}
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