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Green's relations in some categories of strong graph homomorphisms


FitzGerald, DG, Green's relations in some categories of strong graph homomorphisms, Semigroup Forum, 58, (3) pp. 445--451. ISSN 0037-1912 (1999) [Refereed Article]

DOI: doi:10.1007/BF03325440


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.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Group theory and generalisations
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:FitzGerald, DG (Dr Des FitzGerald)
ID Code:16119
Year Published:1999
Deposited By:Mathematics
Deposited On:1999-08-01
Last Modified:2011-08-04

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