@article{article_1183609, title={Categorification of Algebras: 2-Algebras}, journal={Ikonion Journal of Mathematics}, volume={5}, pages={1–19}, year={2023}, DOI={10.54286/ikjm.1183609}, author={Akça, İbrahim and Ege Arslan, Ummahan}, keywords={2-categories, Crossed modules, Homotopy.}, abstract={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.}, number={1}, publisher={Nihat AKGÜNEŞ}