Rough action on topological rough groups
[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...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/151368 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/151368 |
| Access Level: | acceso abierto |
| Palabra clave: | Rough groups Topological rough groups Topological rough subgroups Product of topological rough groups Topological rough group homomorphisms Topological rough group homeomorphisms Topologically rough homogeneous spaces Rough kernel |
| Sumario: | [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. |
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