Description

• Title:
  \(L\)-Modules
• Creator:
  Saidi Goraghani, Simin;
  Borzooei, Rajab Ali
• Contributor:
  Saidi Goraghani, Simin - Farhangian University, Department of Mathematics, Tehran, Iran;
  Borzooei, Rajab Ali - Shahid Beheshti University, Department of Mathematics, Faculty of Mathematical Sciences, Tehran, Iran;
  Saidi Goraghani, Simin - SiminSaidi@yahoo.com;
  Borzooei, Rajab Ali - borzooei@sbu.ac.ir
• Description:
  In this paper, considering \(L\)-algebras, which include a significant number of other algebraic structures, we present a definition of modules on \(L\)-algebras (\(L\)-modules). Then we provide some examples and obtain some results on \(L\)-modules. Also, we present definitions of prime ideals of \(L\)-algebras and \(L\)-submodules (prime \(L\)-submodules) of \(L\)-modules, and investigate the relationship between them. Finally, by proving a number of theorems, we provide some conditions for having prime \(L\)-submodules.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0/
• Date:
  2024.04.12;
  2023.12.04
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;1;
  53
• Subject:
  \(L\)-algebra;
  \(L\)-module;
  \(L\)-submodule;
  prime \(L\)-submodule
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/51689 ;
  2449-836X;
  10.18778/0138-0680.2023.27
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other