The category of right-preordered groups is S-protomodular and action representable for Schreier split epimorphisms, with S-crossed modules corresponding exactly to Schreier internal categories.
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Internal structures in the category of right-preordered groups
The category of right-preordered groups is S-protomodular and action representable for Schreier split epimorphisms, with S-crossed modules corresponding exactly to Schreier internal categories.