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Simplicial algebroids and internal categories within $$R$$-algebroids. (English) Zbl 1442.18012
Summary: In this work, by defining Peiffer pairings in the Moore complex of a simplicial algebroid, we give the close relationship between the category of simplicial algebroids with Moore complex of length 1 and that of internal categories in the category of $$R$$-algebroids.
##### MSC:
 18C40 Structured objects in a category (group objects, etc.) 18N40 Homotopical algebra, Quillen model categories, derivators 18N50 Simplicial sets, simplicial objects 18G50 Nonabelian homological algebra (category-theoretic aspects)
##### Keywords:
crossed modules; simplicial algebras; Moore complex
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##### References:
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