- Tytuł:
- Stabilizers on \(L\)-algebras
- Autorzy:
-
Rezaei, Gholam Reza
Aaly Kologani, Mona - Powiązania:
- https://bibliotekanauki.pl/articles/43184447.pdf
- Data publikacji:
- 2024
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
\(L\)-algebra
stabilizer
ideal
co-anihiliators
Baire space
topological space - Opis:
- 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.
- Źródło:
-
Bulletin of the Section of Logic; 2024, 53, 1; 105-124
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł