The Injective Envelope of S-Sets
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)...
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| Veröffentlicht in: | Canadian mathematical bulletin 1967-06, Vol.10 (2), p.261-273 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0008-4395 1496-4287 |
| DOI: | 10.4153/CMB-1967-026-1 |