Digitale Medien
Springer
Applied categorical structures
6 (1998), S. 291-332
ISSN:
1572-9095
Schlagwort(e):
Kan extension
;
factorization system
;
full embedding
;
universal category
;
variety of algebras
;
colimit of an α-directed diagram
;
locally α-presentable category
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract The paper introduces some mild requirements under which a Kan extension is a full embedding that preserves factorization systems and colimits of α-directed diagrams. The existence of such Kan extensions is then used to establish conditions equivalent to algebraic universality of concrete categories such as varieties of algebras of any given similarity type.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1023/A:1008681922458
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