A characterization for prime ideals in compact semigroups (Q1175607)
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: A characterization for prime ideals in compact semigroups |
scientific article; zbMATH DE number 11950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization for prime ideals in compact semigroups |
scientific article; zbMATH DE number 11950 |
Statements
A characterization for prime ideals in compact semigroups (English)
0 references
25 June 1992
0 references
Improving a result of \textit{K. Numakura} [Duke Math. J. 24, 671-680 (1957; Zbl 0218.22004)] the author shows that if \(P\) is a prime open ideal of a compact semigroup \(S\), then there exists a group element \(g\in S\) such that \(P\) coincides with the largest ideal contained in \(S\backslash g\).
0 references
prime open ideal
0 references
compact semigroup
0 references
