Relative Goursat categories

Autor: Julia Goedecke, Tamar Janelidze
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