On (semi)topology L-algebras
| Autor: | Mona Aaly Kologani |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Categories and General Algebraic Structures with Applications, Vol 18, Iss 1, Pp 81-103 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2345-5853 2345-5861 |
| DOI: | 10.52547/cgasa.2023.103121 |
| Popis: | Here, we define (semi)topological L-algebras and some related results are approved. Then we deduce conditions that mention an L-algebra to be a semi-topological or a topological L-algebra and we check some attributes of them. Chiefly, we display in an L-algebra L, if (L, ↠, τ ) is a semi-topological L-algebra and {1} is an open set or L is bounded and satisfies the double negation property, then (L,τ) is a topological L-algebra. Finally, we construct a discrete topology on a quotient L-algebra, under suit- able conditions. Also, different kinds of topology such as T0 and Hausdorff are investigated. |
| Databáze: | Directory of Open Access Journals |
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