Homotopies of 2-Algebra Morphisms

Year 2022, Volume: 5 Issue: 4, 170 - 179, 30.12.2022

İbrahim Akça , Ummahan Ege Arslan

https://doi.org/10.33434/cams.1180773

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.

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