ISSN:
1572-9095
Keywords:
Primary 18A40
;
Secondary 18A30
;
13B30
;
Monoreflection
;
functorial ring of quotients
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract It is shown that, in a category with a specified class ℳ of monics and under some mild hypothesis,there is a monoreflection maximum among those whose reflection maps lie in ℳ. Thus, for example, any variety, and “most” SP-classes in a variety, have both amaximum monoreflection and amaximum essential reflection (which might be the same, but frequently aren't, and which might be the identity functor, but frequently aren't). And, for example, under some mild hypotheses, beneath each “completion” lies a maximum monoreflection, so that, for example, any “category of rings” has amaximum functorial ring of quotients.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00873037
Permalink
