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 show that push forwards can be used to obtain the crossed module version of the comprehensive factorization for internal groupoids.

Cigoli, A.S., Mantovani, S., Metere, G. (2014). A push forward construction and the comprehensive factorization for internal crossed modules. APPLIED CATEGORICAL STRUCTURES, 22(5-6), 931-960 [10.1007/s10485-013-9348-1].

A push forward construction and the comprehensive factorization for internal crossed modules

METERE, Giuseppe
2014-01-01

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 show that push forwards can be used to obtain the crossed module version of the comprehensive factorization for internal groupoids.
2014
Settore MAT/02 - Algebra
Cigoli, A.S., Mantovani, S., Metere, G. (2014). A push forward construction and the comprehensive factorization for internal crossed modules. APPLIED CATEGORICAL STRUCTURES, 22(5-6), 931-960 [10.1007/s10485-013-9348-1].
File in questo prodotto:
File Dimensione Formato  
pf06.pdf

accesso aperto

Dimensione 357.73 kB
Formato Adobe PDF
357.73 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/103034
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 9
social impact