On the Cantor-Dedekind property of the Tilson order on categories and graphs
type: Item
instance of: scholarly article
title: On the Cantor-Dedekind property of the Tilson order on categories and graphs
zbMATH Open document ID: 0628.18001
DOI: 10.1016/0022-4049(87)90107-1
author: B. George
published in: Journal of Pure and Applied Algebra
publication date: 1987-01-01T00:00:00Z
review text: The quasi-order of division is defined for finite categories, in analogy with that for monoids, and shown to be dense for non-trivial connected finite categories (non-trivial means that at least one object's endomorphism monoid is non-trivial; connected means the impossibility to divide the objects into two classes between which there is no morphism).
Mathematics Subject Classification ID: 18B99
Mathematics Subject Classification ID: 18B40
Mathematics Subject Classification ID: 20M99
zbMATH DE Number: 4021404
zbMATH Keywords: connected categories
zbMATH Keywords: quasi-order of division
zbMATH Keywords: finite categories
zbMATH Keywords: dense
reviewed by: Václav Koubek
MaRDI profile type: Publication
full work available at URL: 0022-4049(87)90107-1
OpenAlex ID: W2079740707
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description: scientific article; zbMATH DE number 4021404