On categories with semidirect products

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...

ver descrição completa

Detalhes bibliográficos
Autor principal: Martins-Ferreira, Nelson (author)
Outros Autores: Sobral, Manuela (author)
Formato: other
Idioma:eng
Publicado em: 2010
Assuntos:
Texto completo:http://hdl.handle.net/10316/14325
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/14325
Descrição
Resumo: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.