Green's relations in some categories of strong graph homomorphisms

DOI10.1007/BF03325440zbMath0934.20046MaRDI QIDQ1293385

D. G. Fitz-Gerald

Publication date: 6 February 2000

Published in: Semigroup Forum (Search for Journal in Brave)

zbMATH Keywords

categoriesGreen relationsendomorphism monoidsepi-mono factorizationsstrong graph monomorphisms

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connections of semigroups with homological algebra and category theory (20M50) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Cites Work

• Green's relations on the strong endomorphism monoid of a graph
• On End-regular graphs
• Endomorphisms of graphs. I: The monoid of strong endomorphisms
• Endomorphisms of graphs. II: Various unretractive graphs
• Semisimplicity and von Neumann's regularity
• Some Remarks Concerning Categories and Subspaces
• Divisibility in categories of a class which includes the category of binary relations
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