Internal Categories in Crossed Semimodules and Schreier Internal Categories

Year 2020, , 86 - 95, 15.10.2020

Sedat Temel

https://doi.org/10.36753/mathenot.691956

Cited By: 1

Abstract

In this paper, we characterize internal categories in the category of crossed semimodules and the category of Schreier internal categories within monoids. Then we prove a natural equivalence between their categories. This allows us to produce various examples of double categories.                                                                                                                                                                                                                                                                                                          .

Keywords

Crossed module, Crossed semimodule, Schreier internal category, Double category.

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