Research Article

Homotopies of 2-Algebra Morphisms

Volume: 5 Number: 4 December 30, 2022
EN

Homotopies of 2-Algebra Morphisms

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.

References

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APA
Akça, İ., & Ege Arslan, U. (2022). Homotopies of 2-Algebra Morphisms. Communications in Advanced Mathematical Sciences, 5(4), 170-179. https://doi.org/10.33434/cams.1180773
AMA
1.Akça İ, Ege Arslan U. Homotopies of 2-Algebra Morphisms. Communications in Advanced Mathematical Sciences. 2022;5(4):170-179. doi:10.33434/cams.1180773
Chicago
Akça, İbrahim, and Ummahan Ege Arslan. 2022. “Homotopies of 2-Algebra Morphisms”. Communications in Advanced Mathematical Sciences 5 (4): 170-79. https://doi.org/10.33434/cams.1180773.
EndNote
Akça İ, Ege Arslan U (December 1, 2022) Homotopies of 2-Algebra Morphisms. Communications in Advanced Mathematical Sciences 5 4 170–179.
IEEE
[1]İ. Akça and U. Ege Arslan, “Homotopies of 2-Algebra Morphisms”, Communications in Advanced Mathematical Sciences, vol. 5, no. 4, pp. 170–179, Dec. 2022, doi: 10.33434/cams.1180773.
ISNAD
Akça, İbrahim - Ege Arslan, Ummahan. “Homotopies of 2-Algebra Morphisms”. Communications in Advanced Mathematical Sciences 5/4 (December 1, 2022): 170-179. https://doi.org/10.33434/cams.1180773.
JAMA
1.Akça İ, Ege Arslan U. Homotopies of 2-Algebra Morphisms. Communications in Advanced Mathematical Sciences. 2022;5:170–179.
MLA
Akça, İbrahim, and Ummahan Ege Arslan. “Homotopies of 2-Algebra Morphisms”. Communications in Advanced Mathematical Sciences, vol. 5, no. 4, Dec. 2022, pp. 170-9, doi:10.33434/cams.1180773.
Vancouver
1.İbrahim Akça, Ummahan Ege Arslan. Homotopies of 2-Algebra Morphisms. Communications in Advanced Mathematical Sciences. 2022 Dec. 1;5(4):170-9. doi:10.33434/cams.1180773