On categories with semidirect products

• Author(s): Martins-Ferreira, Nelson ; Sobral, Manuela
• Date: 2010
• Persistent ID: http://hdl.handle.net/10316/14325
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Protomodular; Homological; Semi-abelian category; Semidirect product
• Document Type: Preprint
• Language: English

Description

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.