Green's relations on Croisot-Teissier semigroups (Q1070359)
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: Green's relations on Croisot-Teissier semigroups |
scientific article; zbMATH DE number 3935337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Green's relations on Croisot-Teissier semigroups |
scientific article; zbMATH DE number 3935337 |
Statements
Green's relations on Croisot-Teissier semigroups (English)
0 references
1986
0 references
Green's relation \({\mathcal L}\), \({\mathcal R}\), \({\mathcal J}\), \({\mathcal H}\) and \({\mathcal D}\) on an arbitrary Croisot-Teissier semigroup S are characterized. Hence necessary and sufficient conditions are obtained for S to have only principal ideals or to be bisimple.
0 references
Green's relation
0 references
Croisot-Teissier semigroup
0 references
principal ideals
0 references
