Homotopies of 2-Algebra Morphisms
Authors : Ibrahim Akça, Ummahan Ege Arslan
Pages : 170-179
Doi:10.33434/cams.1180773
View : 11 | Download : 9
Publication Date : 2022-12-30
Article Type : Research
Abstract :In [1] it is 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 define the notion of homotopy for 2-algebras and we explore the relations of crossed module homotopy and 2-algebra homotopy.Keywords : 2-categories, Crossed modules, Homotopy.