Quadratic modules of groupoids and related structures
Filomat, vol.39, no.3, pp.921-933, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 39 Issue: 3
- Publication Date: 2025
- Doi Number: 10.2298/fil2503921s
- Journal Name: Filomat
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.921-933
- Keywords: 2-quadratic module, groupoid, nil(2)-module, Quadratic module
- Eskisehir Osmangazi University Affiliated: Yes
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.