Year: 2025
Type: article
Abstract: In this paper, we define functors between quadratic modules of groupoids and related structures. The focus of this paper is on the study of functors between quadratic modules of groupoids and related structures. Specifically, we explore the existence of functors between nil(2)-modules, quadratic modules, and 2-quadratic modules over groupoids. We also define functors that relate these different types of modules over groupoids, and investigate the categorical equivalence between them. We show that functors exist between the categories of 2-quadratic modules of groups, nil(2)-modules, and quadratic modules over group(oid)s.
Source: Filomat
DOI: 10.2298/fil2503921s
Author: Elis Soylu Yilmaz
Institution: Eskişehir Osmangazi University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412899067