Categorification of Algebras: 2-Algebras
Authors : Ibrahim Akça, Ummahan Ege Arslan
Pages : 1-19
Doi:10.54286/ikjm.1183609
View : 72 | Download : 88
Publication Date : 2023-08-22
Article Type : Research Article
Abstract :This paper introduces a categorification of k-algebras called 2-algebras, where k is a commutative ring. We define the 2-algebras as a 2-category with single object in which collections of all 1-morphisms and all 2-morphisms are k-algebras. It is shown that the category of 2-algebras is equivalent to the category of crossed modules in commutative k-algebras.Keywords : 2-categories, Crossed modules, Homotopy.