Homotopies of 2-Algebra Morphisms

Authors : İbrahim AKÇA, Ummahan EGE ARSLAN

Pages : 170-179

Doi:10.33434/cams.1180773

View : 43 | Download : 10

Publication Date : 2022-12-30

Article Type : Research Paper

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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