Description

• Title:
  On Injective MV-Modules
• Creator:
  Borzooei, Rajabali A.;
  Goraghani, S. Saidi
• Contributor:
  Shahid Beheshti University, Department of Mathematics;
  Farhangian University, Department of Mathematics;
  borzooei@sbu.ac.ir;
  siminsaidi@yahoo.com
• Description:
  In this paper, by considering the notion of MV-module, which is the structure that naturally correspond to lu-modules over lu-rings, we study injective MV-modules and we investigate some conditions for constructing injective MV-modules. Then we define the notions of essential A-homomorphisms and essential extension of A-homomorphisms, where A is a product MV-algebra, and we get some of there properties. Finally, we prove that a maximal essential extension of any A-ideal of an injective MV-module is an injective A-module, too.
• Object availability:
  free access
• Rights:
  This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.;
  http://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2019.05.24;
  2018
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic; 4;
  47
• Subject:
  (MV, PMV)-algebra;
  MV-module;
  Injective MV-module;
  Essential extension;
  06D35;
  06F99;
  16D80
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/28483 ;
  2449-836X;
  10.18778/0138-0680.47.4.04
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image