Topological semigroups of matrix units
We prove that the semigroup of matrix units is
 stable. Compact, countably compact and pseudocompact topologies τ on the infinite semigroup of matrix units Bλ such that (Bλ,τ )
 is a semitopological (inverse) semigroup are described. We prove
 the following properties of an i...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2005 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2005
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157194 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Topological semigroups of matrix units / O.V. Gutik, K.P. Pavlyk // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 1–17. — Бібліогр.: 26 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We prove that the semigroup of matrix units is
stable. Compact, countably compact and pseudocompact topologies τ on the infinite semigroup of matrix units Bλ such that (Bλ,τ )
is a semitopological (inverse) semigroup are described. We prove
the following properties of an infinite topological semigroup of matrix units. On the infinite semigroup of matrix units there exists
no semigroup pseudocompact topology. Any continuous homomorphism from the infinite topological semigroup of matrix units into
a compact topological semigroup is annihilating. The semigroup
of matrix units is algebraically h-closed in the class of topological
inverse semigroups. Some H-closed minimal semigroup topologies
on the infinite semigroup of matrix units are considered.
|
|---|---|
| ISSN: | 1726-3255 |