Relative Goursat categories

Goedecke, Julia;Janelidze, Tamar
(2012) Journal of Pure and Applied Algebra — Vol. 216, n° 8-9, p. 1726-1733 (2012)

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  • Goedecke, JuliaUCLouvain
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  • Janelidze, Tamar
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Abstract
We define relative Goursat categories and prove relative versions of the equivalent conditions defining regular Goursat categories. These include 3-permutability of equivalence relations, preservation of equivalence relations under direct images, a condition on so-called Goursat pushouts, and the denormalised 3×3 Lemma. This extends recent work by Gran and Rodelo on a new characterisation of Goursat categories to a relative context. © 2012 Elsevier B.V..
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Goedecke, J., & Janelidze, T. (2012). Relative Goursat categories. Journal of Pure and Applied Algebra, 216(8-9), 1726-1733. https://doi.org/10.1016/j.jpaa.2012.02.012 (Original work published 2012)