Turkish Journal of Mathematics
Abstract
In this work, we describe the category of categorical $R$-algebras and show that a categorical $R$-algebra is a category object in $\mathcal{C=}A\lg _{R}$. By using this property of categorical $R$-algebras, we can give an equivalency between the category of categorical $R$-algebras and the category of crossed $R$-modules and also the category of simplicial $R$-algebras.
DOI
10.3906/mat-2008-39
Keywords
Category object, monoid object, categorical $R $-algebra, crossed $% R$-module, simplicial $R $-algebra
First Page
1319
Last Page
1336
Recommended Citation
ARVASİ, Z, & ÇAĞLAYAN, E. I (2021). On 2-algebras: crossed R-modules and categorical R-algebras. Turkish Journal of Mathematics 45 (3): 1319-1336. https://doi.org/10.3906/mat-2008-39
