Geodesic
Stabilizers on \(L\)-algebras
Bulletin of the Section of Logic, Tome 53 (2024) no. 1, pp. 105-124.

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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.
Keywords: \(L\)-algebra, stabilizer, ideal, co-anihiliators, Baire space, topological space 
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Rezaei, Gholam Reza; Aaly Kologani, Mona. Stabilizers on \(L\)-algebras. Bulletin of the Section of Logic, Tome 53 (2024) no. 1, pp. 105-124. http://geodesic.mathdoc.fr/item/BSL_2024_53_1_a3/

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