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Green's relations in some categories of strong graph homomorphisms
The immediate purpose of this paper is to show how Li's characterization of Green's relations on monoids of strong endomorphisms of graphs [8] is related to earlier work of Klasa [5] on categories. Li's results are thus extended to some categories of strong graph homomorphisms with more than one object, and a finiteness requirement is weakened. A further purpose is to extend Klasa's results in such a way as to better reflect the factorization properties of interesting concrete categories.
History
Publication title
Semigroup ForumVolume
58Pagination
445--451ISSN
0037-1912Department/School
School of Natural SciencesPublisher
Springer-VerlagPlace of publication
New YorkRepository Status
- Restricted