12 citations · 21 across the 8 of their papers we have counts for
8 papers
Equivalence of the categories of categorical groups and cssc-crossed modules
Tamar Datuashvili, Osman Mucuk, Nazmiye Alemdar +1
In [8] we proved that any categorical group defines a c-crossed module, which is a cssc-crossed module defined in the same paper. In [9] we constructed a categorical group for any…
From cssc-crossed modules to categorical groups
Tamar Datuashvili, Osman Mucuk, Nazmiye Alemdar +1
For any cssc-crossed module a category is constructed, equipped with a structure and proved that this is a coherent categorical group. Together with a result of the previous paper,…
Coverings and liftings of generalized crossed modules
Gamze Aytekin Arici, Tunçar Şahan
In the theory of crossed modules, considering arbitrary self-actions instead of conjugation allows for the extension of the concept of crossed modules and thus the notion of genera…
Categories internal to crossed modules
Tunçar Şahan, Jihad Jamil Mohammed
In this study, internal categories in the category of the crossed modules are characterized and it has been shown that there is a natural equivalence between the category of the cr…
Derived crossed modules
Tunçar Şahan
In this study, we interpret the notion of homotopy of morphisms in the category of crossed modules in a category of groups with operations using the categorical equiva…
Actor of categories internal to groups
Tunçar Şahan
In this study, using the Brown-Spencer theorem and in the ligth of the works of Norrie, in the category of internal categories within groups, also called group-groupoids, we interp…