Categorification of Algebras: 2-Algebras
| Autor: | İbrahim AKÇA, Ummahan EGE ARSLAN |
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| Rok vydání: | 2022 |
| Zdroj: | Ikonion Journal of Mathematics. |
| ISSN: | 2687-6531 |
| DOI: | 10.54286/ikjm.1183609 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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