On 2-algebras: crossed R-modules and categorical R-algebras

Arvasi Z., Ilgaz Çağlayan E.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.3, ss.1319-1336, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2008-39
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1319-1336
  • Anahtar Kelimeler: Category object, monoid object, categorical R-algebra, crossed R-module, simplicial R-algebra
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this work, we describe the category of categorical R-algebras and show that a categorical R-algebra is a category object in C = Alg(R). By using this property of categorical R-algebras, we can give an equivalency between the category of categorical R-algebras and the category of crossed R-modules and also the category of simplicial R-algebras.