Author:
Borceux Francis,Day B. J.
Abstract
In this article we examine the problem of when a left Kan extension of a finite-product-preserving functor is finite-product preserving. This extension property is of significance in the development of finitary universal algebra in a closed category, details of which will appear elsewher. We give a list of closed categories with the required extension property.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. [5] Eilenberg Samuel and Kelly G. Max , “Closed categories”,Proc. Conf. Categorical Algebra,La Jolla, California, 1965, 421–562 (Springer-Verlag, Berlin, Heidelberg, New York, 1966).
2. A notion of limit for enriched categories
3. Adjunction for enriched categories
4. Coequalizers in categories of algebras
5. [1] Borceux Francis and Day Brian , “Universal algebra in a closed category”, J. Pure Appl. Algebra (to appear).
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Bi-incomplete Tambara functors as
-commutative monoids;Tunisian Journal of Mathematics;2024-01-20
2. Limits of small functors;Journal of Pure and Applied Algebra;2007-09
3. Codescent objects and coherence;Journal of Pure and Applied Algebra;2002-11
4. When do completion processes give rise to extensive categories?;Journal of Pure and Applied Algebra;2001-05
5. Computing Left Kan Extensions Using the Todd-Coxeter Procedure;Computational Algebra and Number Theory;1995