A push forward construction and the comprehensive factorization for internal crossed modules
Articolo
Data di Pubblicazione:
2014
Citazione:
A push forward construction and the comprehensive factorization for internal crossed modules / A.S. Cigoli, S. Mantovani, G. Metere. - In: APPLIED CATEGORICAL STRUCTURES. - ISSN 0927-2852. - 22:5/6(2014 Oct), pp. 931-960. [10.1007/s10485-013-9348-1]
Abstract:
In a semi-abelian category, we give a categorical construction of the push forward
of an internal pre-crossed module, generalizing the pushout of a short exact sequence in
abelian categories. The main properties of the push forward are discussed. A simplified
version is given for action accessible categories, providing examples in the categories of
rings and Lie algebras.We showthat push forwards can be used to obtain the crossedmodule
version of the comprehensive factorization for internal groupoids.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
push forward ; crossed module ; comprehensive factorization ; semi-abelian
category
Elenco autori:
A.S. Cigoli, S. Mantovani, G. Metere
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