On free subsemigroups (Q801043)
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 free subsemigroups |
scientific article; zbMATH DE number 3879165
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On free subsemigroups |
scientific article; zbMATH DE number 3879165 |
Statements
On free subsemigroups (English)
0 references
1984
0 references
Let S be a cancellative semigroup and for a,b\(\in S\) let \(<a,b>\) be the subsemigroup of S generated by a,b. Then \(<a,b>\) is free or \(a<a,b>\cap b<a,b>\neq \emptyset.\) Several interesting consequences of this result are addressed in the paper.
0 references
free subsemigroup
0 references
cancellative semigroup
0 references