The Role of Complete Parts in Topological Polygroups
A topological polygroup is a polygroup P together with a topology on P such that the polygroup’s binary hyperoperation and the polygroup’s inverse function are continuous with respect to the topology. In this paper, we present some facts about complete parts in polygroups and we use these facts to o...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2016-04-01
|
| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/713 |
| id |
doaj-4f7dbe2fb9f246fab01bd13fbc55823f |
|---|---|
| record_format |
Article |
| spelling |
doaj-4f7dbe2fb9f246fab01bd13fbc55823f2020-11-25T01:35:53ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392016-04-011115460176The Role of Complete Parts in Topological PolygroupsM. Salehi ShadkamiM.R. Ahmadi ZandB. DavvazA topological polygroup is a polygroup P together with a topology on P such that the polygroup’s binary hyperoperation and the polygroup’s inverse function are continuous with respect to the topology. In this paper, we present some facts about complete parts in polygroups and we use these facts to obtain some new results in topological polygroups. We define the concept of cp-resolvable topological polygroups. A non-empty subset X of a topological polygroup is called cp-resolvable if there exist disjoint dense subsets A and B such that at least one of them is a complete part. Then, we investigate a few properties of cp-resolvable topological polygroups.http://www.etamaths.com/index.php/ijaa/article/view/713 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Salehi Shadkami M.R. Ahmadi Zand B. Davvaz |
| spellingShingle |
M. Salehi Shadkami M.R. Ahmadi Zand B. Davvaz The Role of Complete Parts in Topological Polygroups International Journal of Analysis and Applications |
| author_facet |
M. Salehi Shadkami M.R. Ahmadi Zand B. Davvaz |
| author_sort |
M. Salehi Shadkami |
| title |
The Role of Complete Parts in Topological Polygroups |
| title_short |
The Role of Complete Parts in Topological Polygroups |
| title_full |
The Role of Complete Parts in Topological Polygroups |
| title_fullStr |
The Role of Complete Parts in Topological Polygroups |
| title_full_unstemmed |
The Role of Complete Parts in Topological Polygroups |
| title_sort |
role of complete parts in topological polygroups |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2016-04-01 |
| description |
A topological polygroup is a polygroup P together with a topology on P such that the polygroup’s binary hyperoperation and the polygroup’s inverse function are continuous with respect to the topology. In this paper, we present some facts about complete parts in polygroups and we use these facts to obtain some new results in topological polygroups. We define the concept of cp-resolvable topological polygroups. A non-empty subset X of a topological polygroup is called cp-resolvable if there exist disjoint dense subsets A and B such that at least one of them is a complete part. Then, we investigate a few properties of cp-resolvable topological polygroups. |
| url |
http://www.etamaths.com/index.php/ijaa/article/view/713 |
| work_keys_str_mv |
AT msalehishadkami theroleofcompletepartsintopologicalpolygroups AT mrahmadizand theroleofcompletepartsintopologicalpolygroups AT bdavvaz theroleofcompletepartsintopologicalpolygroups AT msalehishadkami roleofcompletepartsintopologicalpolygroups AT mrahmadizand roleofcompletepartsintopologicalpolygroups AT bdavvaz roleofcompletepartsintopologicalpolygroups |
| _version_ |
1725065567449120768 |