Document details

Some remarks on connectors and groupoids in goursat categories

Author(s): Gran, Marino ; Nguefeu, Idriss Tchoffo ; Rodelo, Diana

Date: 2017

Persistent ID: http://hdl.handle.net/10400.1/11985

Origin: Sapientia - Universidade do Algarve

Subject(s): Malcev categories; 3-permutable varieties; Shifting lemma; Connectors; Groupoids; Malcev categories; Malcev categories; 3-permutable varieties; 3-permutable varieties; Shifting lemma; Shifting lemma; Connectors; Connectors; Groupoids; Groupoids


Description

We prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category Conn(C) of connectors in C is a Goursat category whenever C is. This implies that Goursat categories can be characterised in terms of a simple property of internal groupoids.

Document Type Journal article
Language English
Contributor(s) Sapientia
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