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Stabilizers on \(L\)-algebras
- Source :
- Bulletin of the Section of Logic, Vol 53, Iss 1, Pp 105-124 (2024)
- Publication Year :
- 2024
- Publisher :
- Lodz University Press, 2024.
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 01380680 and 2449836X
- Volume :
- 53
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Bulletin of the Section of Logic
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.65016cb930164d6fb56bd595961f085e
- Document Type :
- article
- Full Text :
- https://doi.org/10.18778/0138-0680.2023.28