nLab internal crossed module

Crossed modules of groups, differential crossed modules, and crossed modules of crossed modules, are a special case of an (internal) crossed module in a semi-abelian category which is along with precrossed modules introduced in

  • G. Janelidze, Internal crossed modules, Georgian Math. J. 10 (2003) 99114 (journal).

In Mal’cev categories there is an article on precrossed modules

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