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Green's relations in some categories of strong graph homomorphisms

journal contribution
posted on 2023-05-16, 11:36 authored by Desmond FitzGeraldDesmond FitzGerald
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 Forum

Volume

58

Pagination

445--451

ISSN

0037-1912

Department/School

School of Natural Sciences

Publisher

Springer-Verlag

Place of publication

New York

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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