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http://hdl.handle.net/10662/21682
| Títulos: | A topological characterization of an almost Boolean algebra |
| Autores/as: | Ramanuja Rao, K. Rama Prasad, K. Vara Lakshmi, G. Sundar Raj, Ch. Santhi |
| Palabras clave: | Almost distributive lattice;Almost Boolean algebra;Maximal element;Discrete ADL;Discrete topology;Boolean space;Retícula casi distributiva;Álgebra casi booleana;Elemento máximo;ADL discreta;Topología discreta;Espacio booleano |
| Fecha de publicación: | 2024 |
| Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
| Resumen: | For any Boolean space X and a discrete almost distributive lattice D, it is proved that the set C(X, D) of all continuous mappings of X into D, when D is equipped with the discrete topology, is an almost Boolean algebra under pointwise operations. Conversely, it is proved that any almost Boolean algebra is a homomorphic image of C(X,D) for a suitable Boolean space X and a discrete almost distributive lattice D. |
| URI: | http://hdl.handle.net/10662/21682 |
| ISSN: | 0213-8743 |
| DOI: | 10.17398/2605-5686.39.1.47 |
| Colección: | Extracta Mathematicae Vol. 39, nº 1 (2024) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_39_1_47.pdf | 504,2 kB | Adobe PDF | Descargar |
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