Stabilizers on \(L\)-algebras
| Autor: | Gholam Reza Rezaei, Mona Aaly Kologani |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Bulletin of the Section of Logic, Vol 53, Iss 1, Pp 105-124 (2024) |
| Druh dokumentu: | article |
| ISSN: | 0138-0680 2449-836X |
| DOI: | 10.18778/0138-0680.2023.28 |
| Popis: | The main goal of this paper is to introduce the notion of stabilizers in \(L\)-algebras and develop stabilizer theory in \(L\)-algebras. In this paper, we introduced the notions of left and right stabilizers and investigated some related properties of them. Then, we discussed the relations among stabilizers, ideal and co-annihilators. Also, we obtained that the set of all ideals of a \(CKL\)-algebra forms a relative pseudo-complemented lattice. In addition, we proved that right stabilizers in \(CKL\)-algebra are ideals. Then by using the right stabilizers we produced a basis for a topology on \(L\)-algebra. We showed that the generated topology by this basis is Baire, connected, locally connected and separable and we investigated the other properties of this topology. |
| Databáze: | Directory of Open Access Journals |
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