2 papers
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…
math.CO2023
An Inversion Statistic on the Hyperoctahedral Group
Hasan Arslan, Alnour Altoum, Hilal Karakus Arslan
In this paper, we introduce an inversion statistic on the hyperoctahedral group by using an decomposition of a positive root system of this reflection group. Then we prove so…