(Co)Limit calculations in the category of 2-crossed $R$-modules

Authors: ELİS SOYLU YILMAZ

Abstract: In this work, we obtain how to construct finite limits and colimits for 2-crossed $R$-Modules over groups denoted with $\mathbf{X_2Mod/R}$. We give direct construction of the pullback object to show that this category has finite products over the terminal object. We also show finite coproducts and (co)completeness.

Keywords: 2-crossed module, coproduct, pullback

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