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Research Article Open access CC BY 4.0

Injectives Hulls and Projective Covers in Categories of Generalized Uniform Hypergraphs

Martin Schmidt

Journal of Advances in Mathematics and Computer Science · pp. 1–13 · Published 12 Nov 2018

10.9734/JAMCS/2018/44038

Abstract

We construct injective hulls and projective covers in categories of generalized uniform hypergraphs which generalizes the constructions in the category of quivers and the category of undirected graphs. While the constructions are not functorial, they are “sub-functorial”, meaning they are subobjects of functorial injective and projective refinements.

Graph hypergraph uniform hypergraph injective hull projective cover

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