Generalization of soft topological groups
Abstract There exists two different definitions for soft topological groups, the first due to Hida and the other due to Tariq Shah. In this paper, we give a generalization for both of them, and also, we study the topological properties for the construction of finer soft topology made by Nazmul and u...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s42787-020-00075-7 |
| _version_ | 1819017773223772160 |
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| author | O. Tantawy S. A. Kandil A ElShamy |
| author_facet | O. Tantawy S. A. Kandil A ElShamy |
| author_sort | O. Tantawy |
| collection | DOAJ |
| description | Abstract There exists two different definitions for soft topological groups, the first due to Hida and the other due to Tariq Shah. In this paper, we give a generalization for both of them, and also, we study the topological properties for the construction of finer soft topology made by Nazmul and use the same technique to construct a soft topological group via Hida concept starting from a parametrized family of topological groups. Then, we introduce the concept of soft rough and rough soft topological group to generalize the concept of rough and soft topological group. |
| first_indexed | 2024-12-21T03:08:51Z |
| format | Article |
| id | doaj.art-44a87c5506dd48298dc664c3ab43f47f |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-12-21T03:08:51Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-44a87c5506dd48298dc664c3ab43f47f2022-12-21T19:18:02ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282020-03-0128111010.1186/s42787-020-00075-7Generalization of soft topological groupsO. Tantawy0S. A. Kandil1A ElShamy2Mathematics Department, Faculty of Science, Zagazig UniversityBasic Science Department, Canadian International college (CIC)Basic Science Department, Canadian International college (CIC)Abstract There exists two different definitions for soft topological groups, the first due to Hida and the other due to Tariq Shah. In this paper, we give a generalization for both of them, and also, we study the topological properties for the construction of finer soft topology made by Nazmul and use the same technique to construct a soft topological group via Hida concept starting from a parametrized family of topological groups. Then, we introduce the concept of soft rough and rough soft topological group to generalize the concept of rough and soft topological group.http://link.springer.com/article/10.1186/s42787-020-00075-7Topological groupSoft topological groupGeneralized soft topological groupsRough topological groupSoft rough topological groupRough soft topological group |
| spellingShingle | O. Tantawy S. A. Kandil A ElShamy Generalization of soft topological groups Journal of the Egyptian Mathematical Society Topological group Soft topological group Generalized soft topological groups Rough topological group Soft rough topological group Rough soft topological group |
| title | Generalization of soft topological groups |
| title_full | Generalization of soft topological groups |
| title_fullStr | Generalization of soft topological groups |
| title_full_unstemmed | Generalization of soft topological groups |
| title_short | Generalization of soft topological groups |
| title_sort | generalization of soft topological groups |
| topic | Topological group Soft topological group Generalized soft topological groups Rough topological group Soft rough topological group Rough soft topological group |
| url | http://link.springer.com/article/10.1186/s42787-020-00075-7 |
| work_keys_str_mv | AT otantawy generalizationofsofttopologicalgroups AT sakandil generalizationofsofttopologicalgroups AT aelshamy generalizationofsofttopologicalgroups |