On product-preserving Kan extensions

Francis Borceux; B. J. Day

doi:10.1017/S0004972700010455

On product-preserving Kan extensions

Francis Borceux
, B. J. Day

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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.

Original language	English
Pages (from-to)	247-255
Number of pages	9
Journal	Bulletin of the Australian Mathematical Society
Volume	17
Issue number	2
DOIs	https://doi.org/10.1017/S0004972700010455
Publication status	Published - 1977

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AB - 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.

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On product-preserving Kan extensions

Abstract

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