Rough action on topological rough groups
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| dc.contributor.author | Altassan, Alaa
|
es_ES |
| dc.contributor.author | Alharbi, Nof
|
es_ES |
| dc.contributor.author | Aydi, Hassen
|
es_ES |
| dc.contributor.author | Özel, Cenap
|
es_ES |
| dc.date.accessioned | 2020-10-07T10:26:04Z | |
| dc.date.available | 2020-10-07T10:26:04Z | |
| dc.date.issued | 2020-10-01 | |
| dc.identifier.issn | 1576-9402 | |
| dc.identifier.uri | http://hdl.handle.net/10251/151368 | |
| dc.description.abstract | [EN] In this paper we explore the interrelations between rough set theory and group theory. To this end, we first define a topological rough group homomorphism and its kernel. Moreover, we introduce rough action and topological rough group homeomorphisms, providing several examples. Next, we combine these two notions in order to define topological rough homogeneous spaces, discussing results concerning open subsets in topological rough groups. | es_ES |
| dc.description.sponsorship | The authors wish to thank the Deanship for Scientific Research (DSR) at King Abdulaziz University for financially funding this project under grant no. KEP-PhD-2-130-39. Also, we would like to thank the editor and referees for their valuable suggestions which have improved the presentation of the paper. | es_ES |
| dc.language | Inglés | es_ES |
| dc.publisher | Universitat Politècnica de València | es_ES |
| dc.relation.ispartof | Applied General Topology | es_ES |
| dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
| dc.subject | Rough groups | es_ES |
| dc.subject | Topological rough groups | es_ES |
| dc.subject | Topological rough subgroups | es_ES |
| dc.subject | Product of topological rough groups | es_ES |
| dc.subject | Topological rough group homomorphisms | es_ES |
| dc.subject | Topological rough group homeomorphisms | es_ES |
| dc.subject | Topologically rough homogeneous spaces | es_ES |
| dc.subject | Rough kernel | es_ES |
| dc.title | Rough action on topological rough groups | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.4995/agt.2020.13156 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/KAU//KEP-PhD-2-130-39/ | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Altassan, A.; Alharbi, N.; Aydi, H.; Özel, C. (2020). Rough action on topological rough groups. Applied General Topology. 21(2):295-304. https://doi.org/10.4995/agt.2020.13156 | es_ES |
| dc.description.accrualMethod | OJS | es_ES |
| dc.relation.publisherversion | https://doi.org/10.4995/agt.2020.13156 | es_ES |
| dc.description.upvformatpinicio | 295 | es_ES |
| dc.description.upvformatpfin | 304 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 21 | es_ES |
| dc.description.issue | 2 | es_ES |
| dc.identifier.eissn | 1989-4147 | |
| dc.relation.pasarela | OJS\13156 | es_ES |
| dc.contributor.funder | King Abdulaziz University, Arabia Saudí | es_ES |
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