Quadratic modules of groupoids and related structures

SOYLU YILMAZ E.

Filomat, cilt.39, sa.3, ss.921-933, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2503921s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.921-933
  • Anahtar Kelimeler: 2-quadratic module, groupoid, nil(2)-module, Quadratic module
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.