On the Cantor-Dedekind property of the Tilson order on categories and graphs (Q1093000)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the Cantor-Dedekind property of the Tilson order on categories and graphs |
scientific article; zbMATH DE number 4021404
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Cantor-Dedekind property of the Tilson order on categories and graphs |
scientific article; zbMATH DE number 4021404 |
Statements
On the Cantor-Dedekind property of the Tilson order on categories and graphs (English)
0 references
1987
0 references
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).
0 references
connected categories
0 references
quasi-order of division
0 references
finite categories
0 references
dense
0 references
0 references
0 references
