Injectives Hulls and Projective Covers in Categories of Generalized Uniform Hypergraphs
Martin Schmidt *
Department of Mathematics and Informatics, Chiba University, Chiba, Japan.
*Author to whom correspondence should be addressed.
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.
Keywords: Graph, hypergraph, uniform hypergraph, injective hull, projective cover