Coverings, Actions and Quotients in Cat^1-groupoids

Temel S., Çan O.

MATEMATICKI VESNIK, cilt.76, sa.4, ss.280-287, 2024 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 76 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.57016/mv-spdf3739
  • Dergi Adı: MATEMATICKI VESNIK
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.280-287
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

The aim of this paper is to present the notions of actions and coverings of cat^1 -groupoids and to prove the natural equivalence between their categories. Moreover, in this context, we characterize the quotient concept of cat^1 -groupoids. Finally we extend these notions to cat^n -groupoids which are groupoid version of cat^n -groups.