Relative Goursat categories

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dc.contributor.authorGoedecke J.
dc.contributor.authorJanelidze T.
dc.date.accessioned2012-06-06T08:02:28Z
dc.date.available2012-06-06T08:02:28Z
dc.date.issued2012
dc.description.abstractWe 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..
dc.identifier.citationJournal of Pure and Applied Algebra
dc.identifier.citation216
dc.identifier.citation09-Aug
dc.identifier.citation1726
dc.identifier.citation1733
dc.identifier.issn224049
dc.identifier.otherdoi:10.1016/j.jpaa.2012.02.012
dc.identifier.urihttp://hdl.handle.net/10019.1/21309
dc.titleRelative Goursat categories
dc.typeArticle
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