Crossed Semimodules of Categories and Schreier 2-Categories
TBILISI MATHEMATICAL JOURNAL, cilt.11, sa.2, ss.47-57, 2018 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 2
- Basım Tarihi: 2018
- Doi Numarası: 10.32513/tbilisi/1529460021
- Dergi Adı: TBILISI MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.47-57
- Anahtar Kelimeler: 2-Category, 2-groupoid, Schreier 2-Category, Crossed Module of Groupoids, Crossed Semimodule of Categories, HOMOTOPIES, GROUPOIDS, MODULES
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
Özet
The main idea of this paper is to introduce the notion of a Schreier 2-category and of a crossed semimodule over categories and to prove the categorical equivalence between their categories.