2-Algebras and Simplicial Commutative Algebras
Konuralp Journal of Mathematics, cilt.14, sa.1, ss.163-168, 2026 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 1
- Basım Tarihi: 2026
- Dergi Adı: Konuralp Journal of Mathematics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.163-168
- Anahtar Kelimeler: 2-categories, Crossed modules, Homotopy
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In [1] it was defined the notion of 2-algebra as a categorification of algebras, and shown that the category of strict 2-algebras is equivalent to the category of crossed modules in commutative algebras. In this paper we show that the category of strict 2-algebras is equivalent to the category of simplicial algebras with Moore complex of length 1.