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https://hdl.handle.net/10316/13706| Title: | A new characterization of Goursat categories | Authors: | Gran, Marino Rodelo, Diana |
Keywords: | Goursat category; 3-by-3 Lemma; Pushouts; Mal'tsev condition | Issue Date: | 2010 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 10-10 (2010) | Serial title, monograph or event: | Pré-Publicações DMUC | Issue: | 10-10 | Place of publication or event: | Coimbra | Abstract: | We present a new characterisation of Goursat categories in terms of special kind of pushouts, that we call Goursat pushouts. This allows one to prove that, for a regular category, the Goursat property is actually equivalent to the validity of the denormalised 3-by-3 Lemma. Goursat pushouts are also useful to clarify, from a categorical perspective, the existence of the quaternary operations characterising 3-permutable varieties | URI: | https://hdl.handle.net/10316/13706 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A new characterization of Goursat categories.pdf | 236.34 kB | Adobe PDF | View/Open |
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