43 citations · 145 across the 19 of their papers we have counts for
20 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,…
-compactness for topological groups with operations
Osman Mucuk, Hüseyin Çakallı
It is well known that for a Hausdorff topological group , the limits of convergent sequences in define a function denoted by from the set of all convergent sequences…
Groups up to congruence relation and from categorical groups to c-crossed modules
Tamar Datuashvili, Osman Mucuk, Tunçar Şahan
We introduce a notion of c-group, which is a group up to congruence relation and consider the corresponding category. Extensions, actions and crossed modules (c-crossed modules) ar…
Crossed modules, double group-groupoids and crossed squares
Sedat Temel, Tunçar Şahan, Osman Mucuk
In this paper using split extensions of group-groupoids we obtain the notion of crossed modules over group-grouoids which are also called 2-groups and we prove a categorical equiva…
Covering morphisms of internal groupoids in the models of a semi-abelian theory
Osman Mucuk, Serap Demir
In this paper, for given an algebraic theory whose category of models is semi-abelian, we consider the topological models of called topological -algebras and obtain…