Detalhes do Documento

Some remarks on connectors and groupoids in goursat categories

Autor(es): Gran, Marino ; Nguefeu, Idriss Tchoffo ; Rodelo, Diana

Data: 2017

Identificador Persistente: http://hdl.handle.net/10400.1/11985

Origem: Sapientia - Universidade do Algarve

Assunto(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


Descrição

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.

Tipo de Documento Artigo científico
Idioma Inglês
Contribuidor(es) Sapientia
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