Internal Categories in Crossed Semimodules and Schreier Internal Categories

Authors : Sedat TEMEL

Pages : 86-95

Doi:10.36753/mathenot.691956

View : 20 | Download : 7

Publication Date : 2020-10-15

Article Type : Research Paper

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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