Relative Goursat categories
Autor: | Julia Goedecke, Tamar Janelidze |
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Rok vydání: | 2012 |
Předmět: | |
Zdroj: | Journal of Pure and Applied Algebra. 216(8-9):1726-1733 |
ISSN: | 0022-4049 |
DOI: | 10.1016/j.jpaa.2012.02.012 |
Popis: | 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.. |
Databáze: | OpenAIRE |
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