Crossed Semimodules of Categories and Schreier 2-Categories

Temel S.

TBILISI MATHEMATICAL JOURNAL, cilt.11, sa.2, ss.47-57, 2018 (ESCI) identifier

  • 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.