The Injective Envelope of S-Sets

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Duration: 3 min 30 s
Description: If S is a semigroup, then an S-set A S 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 Ens S of (right) S-sets is not even additive.
Pierre Berthiaume
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