Coverings, Actions and Quotients in Cat^1-groupoids

Temel S., Çan O.

MATEMATICKI VESNIK, no.In Press, pp.1-8, 2023 (ESCI)

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.57016/mv-spdf3739
  • Journal Name: MATEMATICKI VESNIK
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.1-8
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

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.