## Crossed semimodules of categories and Schreier 2-categories.(English)Zbl 1444.18011

Summary: The main idea of this paper is to introduce the notion of a Schreier 2-category and of a crossed semimodule over categories and to prove the categorical equivalence between their categories.

### MSC:

 18C40 Structured objects in a category (group objects, etc.) 18B99 Special categories 18M05 Monoidal categories, symmetric monoidal categories 20L99 Groupoids (i.e. small categories in which all morphisms are isomorphisms)
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### References:

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