An extension of the regular completion

Centazzo, Claudia;Wood, RJ
(2002) Journal of Pure and Applied Algebra — Vol. 175, n° 1-3, p. 93-108 (2002)

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  • Centazzo, ClaudiaUCLouvain
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  • Wood, RJ
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Abstract
Carboni's regular completion doctrine is extended to a KZ-doctrine on a 2-category whose objects are all categories and whose arrows are functors which preserve kernel arrows. The algebras for the extended doctrine are categories with regular factorizations in which regular epimorphisms are closed under composition. (C) 2002 Elsevier Science B.V. All rights reserved.
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Centazzo, C., & Wood, R. (2002). An extension of the regular completion. Journal of Pure and Applied Algebra, 175(1-3), 93-108. https://doi.org/10.1016/S0022-4049(02)00130-5 (Original work published 2002)