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Relative Adjointness and Preservation of Non-Existing Limits

<p> Triples and the categories of triple algebras are
relativized by a full faithful functors. The Tripleability
Theorem in [1] is correspondingly relativized. The concept
of the rank of a triple becomes intrinsic in this setting.
Preservation of non-existing limits is interpreted
in terms of limit-colimit commutation property. This is
used to account for the usual description of the category
of algebras as the cateeory of all product preserving setvalued
functors on the opposite category of free algebras. </p> / Thesis / Doctor of Philosophy (PhD)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/18545
Date09 1900
CreatorsLee, Sang
ContributorsBanaschewski, B., Mathematics
Source SetsMcMaster University
LanguageEnglish
Detected LanguageEnglish

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