Central Sets Theorem Near of an Idempotent in Wap-Compactification
A small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wap-compactification of a semitopological semigroup S. The wap-compactification...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/1864382 |
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| author | Ali Pashapournia Mohammad Akbari Tootkaboni Davood Ebrahimi Bagha |
| author_facet | Ali Pashapournia Mohammad Akbari Tootkaboni Davood Ebrahimi Bagha |
| author_sort | Ali Pashapournia |
| collection | DOAJ |
| description | A small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wap-compactification of a semitopological semigroup S. The wap-compactification of a semitopological semigroup S, denoted by Sw, is the collection of all ultrafilters near η∈Sw that forms a compact subsemigroup of βSd, where Sd denotes S as discrete space. |
| format | Article |
| id | doaj-art-b9bebff06b234fe5b11175a411b33688 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b9bebff06b234fe5b11175a411b336882025-02-03T06:48:31ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/1864382Central Sets Theorem Near of an Idempotent in Wap-CompactificationAli Pashapournia0Mohammad Akbari Tootkaboni1Davood Ebrahimi Bagha2Department of MathematicsDepartment of Pure MathematicsDepartment of MathematicsA small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wap-compactification of a semitopological semigroup S. The wap-compactification of a semitopological semigroup S, denoted by Sw, is the collection of all ultrafilters near η∈Sw that forms a compact subsemigroup of βSd, where Sd denotes S as discrete space.http://dx.doi.org/10.1155/2023/1864382 |
| spellingShingle | Ali Pashapournia Mohammad Akbari Tootkaboni Davood Ebrahimi Bagha Central Sets Theorem Near of an Idempotent in Wap-Compactification Journal of Function Spaces |
| title | Central Sets Theorem Near of an Idempotent in Wap-Compactification |
| title_full | Central Sets Theorem Near of an Idempotent in Wap-Compactification |
| title_fullStr | Central Sets Theorem Near of an Idempotent in Wap-Compactification |
| title_full_unstemmed | Central Sets Theorem Near of an Idempotent in Wap-Compactification |
| title_short | Central Sets Theorem Near of an Idempotent in Wap-Compactification |
| title_sort | central sets theorem near of an idempotent in wap compactification |
| url | http://dx.doi.org/10.1155/2023/1864382 |
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