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Injective hulls as completions

Published online by Cambridge University Press:  18 May 2009

Paul D. Bacsich
Paul D. Bacsich
Affiliation:
Mathematical Institute, Oxford University
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A preliminary attempt is made to place the theory of completions of boolean algebras and of partially ordered sets in a wider context. The theory and construction of injective hulls in abelian categories is generalised and it is demonstrated that any variety with enough injectives admits injective hulls. Then the methods developed are applied to a non-algebraic bicategory, that of ordered sets.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 13 , Issue 1 , March 1972 , pp. 17 - 23
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

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