Rough quotient in topological rough sets
In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results. At the end, an orbit and a stabilizer in topological r...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2019-0138 |
| _version_ | 1829509889426194432 |
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| author | Alharbi Nof Altassan Alaa Aydi Hassen Özel Cenap |
| author_facet | Alharbi Nof Altassan Alaa Aydi Hassen Özel Cenap |
| author_sort | Alharbi Nof |
| collection | DOAJ |
| description | In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results. At the end, an orbit and a stabilizer in topological rough groups are considered. |
| first_indexed | 2024-12-16T11:53:46Z |
| format | Article |
| id | doaj.art-2fc211b74f9345e7a25233c8b8a8cde3 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-16T11:53:46Z |
| publishDate | 2019-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-2fc211b74f9345e7a25233c8b8a8cde32022-12-21T22:32:37ZengDe GruyterOpen Mathematics2391-54552019-12-011711750175510.1515/math-2019-0138math-2019-0138Rough quotient in topological rough setsAlharbi Nof0Altassan Alaa1Aydi Hassen2Özel Cenap3Department of Mathematics, King Abdulaziz University, P.O.Box: 80203, Jeddah, 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O.Box: 80203, Jeddah, 21589, Saudi ArabiaUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, 4000TunisiaDepartment of Mathematics, King Abdulaziz University, P.O.Box: 80203, Jeddah, 21589, Saudi ArabiaIn this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results. At the end, an orbit and a stabilizer in topological rough groups are considered.https://doi.org/10.1515/math-2019-0138rough quotient groupsthe first rough isomorphism theoremthe second rough isomorphism theoremthe third rough isomorphism theorem22a0554a0503e25 |
| spellingShingle | Alharbi Nof Altassan Alaa Aydi Hassen Özel Cenap Rough quotient in topological rough sets Open Mathematics rough quotient groups the first rough isomorphism theorem the second rough isomorphism theorem the third rough isomorphism theorem 22a05 54a05 03e25 |
| title | Rough quotient in topological rough sets |
| title_full | Rough quotient in topological rough sets |
| title_fullStr | Rough quotient in topological rough sets |
| title_full_unstemmed | Rough quotient in topological rough sets |
| title_short | Rough quotient in topological rough sets |
| title_sort | rough quotient in topological rough sets |
| topic | rough quotient groups the first rough isomorphism theorem the second rough isomorphism theorem the third rough isomorphism theorem 22a05 54a05 03e25 |
| url | https://doi.org/10.1515/math-2019-0138 |
| work_keys_str_mv | AT alharbinof roughquotientintopologicalroughsets AT altassanalaa roughquotientintopologicalroughsets AT aydihassen roughquotientintopologicalroughsets AT ozelcenap roughquotientintopologicalroughsets |