Injective Envelopes and Projective Covers of Quivers
Copyright policy )Injective Envelopes and Projective Covers of Quivers
This paper characterizes the injective and projective objects in the category of directed multigraphs, or quivers. Further, the injective envelope and projective cover of any quiver in this category is constructed.
- Alfred University United States
05C60, Directed graphs (digraphs), tournaments, Mathematics - Category Theory, injective envelope, directed graphs, projectivity, quivers, projective cover, Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), FOS: Mathematics, Mathematics - Combinatorics, Category Theory (math.CT), Combinatorics (math.CO), injectivity
05C60, Directed graphs (digraphs), tournaments, Mathematics - Category Theory, injective envelope, directed graphs, projectivity, quivers, projective cover, Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.), FOS: Mathematics, Mathematics - Combinatorics, Category Theory (math.CT), Combinatorics (math.CO), injectivity
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