3 papers
math.CT2025
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…
math.CO2025
On Bell numbers of type
Hasan Arslan, Nazmiye Alemdar, Mariam Zaarour +1
In this paper, we will introduce Bell numbers of type as an analogue to the classical Bell numbers related to all the partitions of the set . Then based on a signed…
math.AT2023
A Note on the Soft Group Category
Nazmiye Alemdar, Hasan Arslan
The main purpose of this paper is to introduce the structure of soft group category. In this category, we determine some special objects and morphisms having a universal structure…