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Turkish Journal of Mathematics

DOI

10.3906/mat-2008-39

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.

First Page

1319

Last Page

1336

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Mathematics Commons

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