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Injective Hulls are not Natural (1999)
by
Jiri Adamek
,
Horst Herrlich
,
Walter Tholen, et al.
| Citations: | 2 - 1 self |
BibTeX
@MISC{Adamek99injectivehulls,
author = {Jiri Adamek and Horst Herrlich and Walter Tholen and et al.},
title = {Injective Hulls are not Natural},
year = {1999}
}
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Abstract
In a category with injective hulls and a cogenerator, the embeddings into injective hulls can never form a natural transformation, unless all objects are injective. In particular, assigning to a eld its algebraic closure, to a poset or Boolean algebra its MacNeille completion, and to an R- module its injective envelope is not functorial, if one wants the respective embeddings to form a natural transformation.
