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The ternary commutator obstruction for internal crossed modules
cross-effect commutator internal crossed module semi-abelian category
2011/8/25
Abstract: We study the notion of internal crossed module in terms of cross-effects of the identity functor. These cross-effects give rise to a concept of commutator which allows a description of inter...
Pullbacks of Crossed Modules and Cat1- Commutative Algebras
Crossed modules Cat1-Algebra Pullback Commutative Algebra
2010/2/26
In this paper we first review the definitions of crossed module [10], pullback crossed module and cat1-object in the category of commutative algebras. We then describe a certain pullback of cat1- comm...
Pushouts of Profinite Crossed Modules and cat1-profinite groups
Crossed modules Cat1-groups Profinite groups Pushout Pullback Adjoint
2010/2/26
In this paper, we presented a brief review of crossed modules [7], cat1-groups [6], pullback crossed modules [4], pullback cat1-group [1], profinite crossed modules [5], cat1-profinite groups [5], pul...