26 citations · 50 across the 8 of their papers we have counts for
8 papers
Signed Mahonian Polynomials on Colored Derangements
Hasan Arslan, Moussa Ahmia, Nazmiye Alemdar
The polynomial of major index over a classical Weyl group with a generating set is called the Mahonian polynomial over , and also the polynomia…
Soft Connectedness, Soft Path Connectedness and the Category of Soft Topological Groups
Nazmiye Alemdar, Hürmet Fulya Akız, Halim Ayaz
In this study, the soft usual topology compatible with the usual topology of is defined, and using its subspace topology on the interval , the concept of a soft…
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…
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…
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,…
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…
Coverings of internal groupoids and crossed modules in the category of groups with operations
H. Fulya Akız, Nazmiye Alemdar, Osman Mucuk +1
In this paper we prove some results on the covering morphisms of internal groupoids. We also give a result on the coverings of the crossed modules of groups with operations.
Group-groupoids and monodromy groupoids
Osman Mucuk, Berrin Kılıçarslan, Tunçar Şahan +1
This paper gives an introduction to some results on monodromy groupoids and the monodromy principle, and then develops the notion of monodromy groupoid for group groupoids.