The 3-by-3 lemma for regular Goursat categories (Q1770286)
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scientific article; zbMATH DE number 2153099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The 3-by-3 lemma for regular Goursat categories |
scientific article; zbMATH DE number 2153099 |
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The 3-by-3 lemma for regular Goursat categories (English)
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5 April 2005
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A suitable version of the well-known 3-by-3 lemma for abelian categories can be stated, in more general contexts, by replacing short exact sequences with exact forks (defined in terms of kernel pairs and coequalizers). This note is devoted to give a short proof of that lemma in the setting of a regular Goursat category; see [\textit{A. Carboni}, \textit{G. M. Kelly} and \textit{M. C. Pedicchio}, Appl. Categ. Struct. 1, No. 4, 385--421 (1993; Zbl 0799.18002)].
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calculus of relations
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Mal'tsev category
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