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The Injective Envelope of S-Sets

Published online by Cambridge University Press:  20 November 2018

P. Berthiaume
P. Berthiaume*
Affiliation:
University of Ottawa
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 2 , June 1967 , pp. 261 - 273
Copyright
Copyright © Canadian Mathematical Society 1967

References

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