Description

• Title:
  Stabilizers on \(L\)-algebras
• Creator:
  Rezaei, Gholam Reza;
  Aaly Kologani, Mona
• Contributor:
  Rezaei, Gholam Reza - University of Sistan and Baluchestan, Department of Mathematics, Zahedan, Iran;
  Aaly Kologani, Mona - Hatef Higher Education, Zahedan, Iran;
  Rezaei, Gholam Reza - grezaei@math.usb.ac.ir;
  Aaly Kologani, Mona - mona4011@gmail.com
• Description:
  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.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0/
• Date:
  2024.04.12;
  2023.11.20
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;1;
  53
• Subject:
  \(L\)-algebra;
  stabilizer;
  ideal;
  co-anihiliators;
  Baire space;
  topological space
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/51688 ;
  2449-836X;
  10.18778/0138-0680.2023.28
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other