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

Arvasi, ZEKERİYA; Ilgaz Çağlayan, Elif

doi:10.3906/mat-2008-39

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, Scopus, TRDizin)

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.