On categories with semidirect products

• Autor(es): Martins-Ferreira, Nelson ; Sobral, Manuela
• Data: 2010
• Identificador Persistente: http://hdl.handle.net/10316/14325
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Protomodular; Homological; Semi-abelian category; Semidirect product
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

We characterize pointed categories having semidirect products in the sense of D. Bourn and G. Janelidze ([3]) providing necessary and sufficient conditions for a pointed category to admit semidirect products and interpreting these conditions in terms of protomodularity and exactness of certain split chains.