Brandt Extensions and Primitive Topological Inverse Semigroups
We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/671401 |
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| _version_ | 1850223591284539392 |
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| author | Tetyana Berezovski Oleg Gutik Kateryna Pavlyk |
| author_facet | Tetyana Berezovski Oleg Gutik Kateryna Pavlyk |
| author_sort | Tetyana Berezovski |
| collection | DOAJ |
| description | We study (countably) compact and (absolutely) 𝐻-closed primitive
topological inverse semigroups. We describe the structure of compact and countably compact
primitive topological inverse semigroups and show that any countably compact primitive
topological inverse semigroup embeds into a compact primitive topological inverse semigroup. |
| format | Article |
| id | doaj-art-4921f02309a84c81bc73f3c5a8c5d310 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4921f02309a84c81bc73f3c5a8c5d3102025-08-20T02:05:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/671401671401Brandt Extensions and Primitive Topological Inverse SemigroupsTetyana Berezovski0Oleg Gutik1Kateryna Pavlyk2Department of Math/CSC, Saint Joseph's University, 5600 City Avenue, Philadelphia, PA 19131, USADepartment of Mathematics, Ivan Franko Lviv National University, Universytetska 1, Lviv 79000, UkraineDepartment of Mathematics, Ivan Franko Lviv National University, Universytetska 1, Lviv 79000, UkraineWe study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup.http://dx.doi.org/10.1155/2010/671401 |
| spellingShingle | Tetyana Berezovski Oleg Gutik Kateryna Pavlyk Brandt Extensions and Primitive Topological Inverse Semigroups International Journal of Mathematics and Mathematical Sciences |
| title | Brandt Extensions and Primitive Topological Inverse Semigroups |
| title_full | Brandt Extensions and Primitive Topological Inverse Semigroups |
| title_fullStr | Brandt Extensions and Primitive Topological Inverse Semigroups |
| title_full_unstemmed | Brandt Extensions and Primitive Topological Inverse Semigroups |
| title_short | Brandt Extensions and Primitive Topological Inverse Semigroups |
| title_sort | brandt extensions and primitive topological inverse semigroups |
| url | http://dx.doi.org/10.1155/2010/671401 |
| work_keys_str_mv | AT tetyanaberezovski brandtextensionsandprimitivetopologicalinversesemigroups AT oleggutik brandtextensionsandprimitivetopologicalinversesemigroups AT katerynapavlyk brandtextensionsandprimitivetopologicalinversesemigroups |