Description

• Title:
  \(n\)-Fold Filters of EQ-Algebras
• Creator:
  Ganji Saffar, Batoul;
  Kologani, Mona Aly;
  Borzooei, Rajab Ali
• Contributor:
  Ganji Saffar, Batoul - Alzahra University, Department of Mathematics, Faculty of Mathematical Science, Tehran, Iran;
  Kologani, Mona Aly - Hatef Higher Education Institute, Zahedan, Iran;
  Borzooei, Rajab Ali - Shahid Beheshti University, Department of Mathematics, Faculty of Mathematical Science, Tehran, Iran;
  Ganji Saffar, Batoul - bganji@alzahra.ac.ir;
  Kologani, Mona Aly - mona4011@gmail.com;
  Borzooei, Rajab Ali - borzooei@sbu.ac.ir
• Description:
  In this paper, we apply the notion of \(n\)-fold filters to the \(EQ\)-algebras and introduce the concepts of \(n\)-fold pseudo implicative, \(n\)-fold implicative, \(n\)-fold obstinate, \(n\)-fold fantastic prefilters and filters on an \(EQ\)-algebra \(\mathcal{E}\). Then we investigate some properties and relations among them. We prove that the quotient algebra \(\mathcal{E}/F\) modulo an 1-fold pseudo implicative filter of an \(EQ\)-algebra \(\mathcal{E}\) is a good \(EQ\)-algebra and the quotient algebra \(\mathcal{E}/F\) modulo an 1-fold fantastic filter of a good \(EQ\)-algebra \(\mathcal{E}\) is an \(IEQ\)-algebra.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2023.02.10;
  2022.10.14
• Type:
  Other
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;4;
  51
• Subject:
  \(EQ\)-algebra;
  \(n\)-fold pseudo implicative (implicative, obstinate, fantastic) prefilter;
  \(n\)-fold pseudo implicative (implicative, fantastic) EQ-algebra
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/45868 ;
  2449-836X;
  10.18778/0138-0680.2022.09
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  other