Stabilizers on \(L\)-algebras
| dc.contributor.author | Rezaei, Gholam Reza | |
| dc.contributor.author | Aaly Kologani, Mona | |
| dc.date.accessioned | 2024-04-12T09:57:39Z | |
| dc.date.available | 2024-04-12T09:57:39Z | |
| dc.date.issued | 2023-11-20 | |
| dc.identifier.issn | 0138-0680 | |
| dc.identifier.uri | http://hdl.handle.net/11089/51688 | |
| dc.description.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. | en |
| dc.language.iso | en | |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl |
| dc.relation.ispartofseries | Bulletin of the Section of Logic;1 | en |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | \(L\)-algebra | en |
| dc.subject | stabilizer | en |
| dc.subject | ideal | en |
| dc.subject | co-anihiliators | en |
| dc.subject | Baire space | en |
| dc.subject | topological space | en |
| dc.title | Stabilizers on \(L\)-algebras | en |
| dc.type | Other | |
| dc.page.number | 105-124 | |
| dc.contributor.authorAffiliation | Rezaei, Gholam Reza - University of Sistan and Baluchestan, Department of Mathematics, Zahedan, Iran | en |
| dc.contributor.authorAffiliation | Aaly Kologani, Mona - Hatef Higher Education, Zahedan, Iran | en |
| dc.identifier.eissn | 2449-836X | |
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| dc.contributor.authorEmail | Rezaei, Gholam Reza - grezaei@math.usb.ac.ir | |
| dc.contributor.authorEmail | Aaly Kologani, Mona - mona4011@gmail.com | |
| dc.identifier.doi | 10.18778/0138-0680.2023.28 | |
| dc.relation.volume | 53 |
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