1967/06/01 by P. Berthiaume, Pierre Berthiaume
Mathematics · Engineering · Decision Sciences · #Rings, Modules, and Algebras #Advanced Numerical Analysis Techniques #Fuzzy and Soft Set Theory
paper · pdf · doi:10.4153/cmb-1967-026-1
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.