2-Algebras and Simplicial Commutative Algebras
Konuralp Journal of Mathematics, vol.14, no.1, pp.163-168, 2026 (Scopus)
- Publication Type: Article / Article
- Volume: 14 Issue: 1
- Publication Date: 2026
- Journal Name: Konuralp Journal of Mathematics
- Journal Indexes: Scopus
- Page Numbers: pp.163-168
- Keywords: 2-categories, Crossed modules, Homotopy
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
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.