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.

DOI

10.55730/1300-0098.3308

Keywords

2-crossed module, coproduct, pullback

First Page

2902

Last Page

2915

Recommended Citation

YILMAZ, E. S (2022). (Co)Limit calculations in the category of 2-crossed $R$-modules. Turkish Journal of Mathematics 46 (7): 2902-2915. https://doi.org/10.55730/1300-0098.3308

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