Goedecke, Julia
[UCL]
Janelidze, Tamar
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..
Bibliographic reference |
Goedecke, Julia ; Janelidze, Tamar. Relative Goursat categories. In: Journal of Pure and Applied Algebra, Vol. 216, no. 8-9, p. 1726-1733 (2012) |
Permanent URL |
http://hdl.handle.net/2078.1/161050 |