A topological approach for rough semigroups
This study presents a novel approach to defining topological rough semigroups on an approximation space. The concepts of topological space and rough semigroup are naturally combined to achieve this goal. Also, some basic results and examples are presented. Furthermore, some compactness properties ar...
| الحاوية / القاعدة: | AIMS Mathematics |
|---|---|
| المؤلف الرئيسي: | |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
AIMS Press
2024-10-01
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://www.aimspress.com/article/doi/10.3934/math.20241435?viewType=HTML |
| _version_ | 1849739893316517888 |
|---|---|
| author | Nurettin Bağırmaz |
| author_facet | Nurettin Bağırmaz |
| author_sort | Nurettin Bağırmaz |
| collection | DOAJ |
| container_title | AIMS Mathematics |
| description | This study presents a novel approach to defining topological rough semigroups on an approximation space. The concepts of topological space and rough semigroup are naturally combined to achieve this goal. Also, some basic results and examples are presented. Furthermore, some compactness properties are also studied. In addition, their rough subsemigroups and rough ideals are analysed. |
| format | Article |
| id | doaj-art-e5ceaa05d1db42d587fbd8549dda3e0a |
| institution | Directory of Open Access Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| spelling | doaj-art-e5ceaa05d1db42d587fbd8549dda3e0a2025-08-20T01:47:21ZengAIMS PressAIMS Mathematics2473-69882024-10-01910296332964410.3934/math.20241435A topological approach for rough semigroupsNurettin Bağırmaz 0Mardin Artuklu University, Vocational Higher Schools of Mardin, Mardin, TurkeyThis study presents a novel approach to defining topological rough semigroups on an approximation space. The concepts of topological space and rough semigroup are naturally combined to achieve this goal. Also, some basic results and examples are presented. Furthermore, some compactness properties are also studied. In addition, their rough subsemigroups and rough ideals are analysed.https://www.aimspress.com/article/doi/10.3934/math.20241435?viewType=HTMLrough setsrough semigrouprough idealtopological semigrouptopological rough semigroup |
| spellingShingle | Nurettin Bağırmaz A topological approach for rough semigroups rough sets rough semigroup rough ideal topological semigroup topological rough semigroup |
| title | A topological approach for rough semigroups |
| title_full | A topological approach for rough semigroups |
| title_fullStr | A topological approach for rough semigroups |
| title_full_unstemmed | A topological approach for rough semigroups |
| title_short | A topological approach for rough semigroups |
| title_sort | topological approach for rough semigroups |
| topic | rough sets rough semigroup rough ideal topological semigroup topological rough semigroup |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241435?viewType=HTML |
| work_keys_str_mv | AT nurettinbagırmaz atopologicalapproachforroughsemigroups AT nurettinbagırmaz topologicalapproachforroughsemigroups |