Comprehensive factorization and universal I-central extensions in the Mal'cev c...

• Autor(es): Bourn, Dominique ; Rodelo, Diana
• Data: 2010
• Identificador Persistente: http://hdl.handle.net/10316/13716
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Regular Mal'tsev category; Birkho subcategory; Comprehensive factorization; Central extension
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

We show that, under suitable left exact conditions on a re ection functor I, the construction of the associated universal I-central extension is reduced to the comprehensive factorization of a speci c internal functor. This observation produces some existence conditions which hold in particular for any re ection from a Mal'cev variety to any Birkho subvariety