Original Paper

n -fold filters in BL-algebras

  1. Masoud Haveshki,
  2. Esfandiar Eslami

Article first published online: 7 MAR 2008

DOI: 10.1002/malq.200710029

Issue

Mathematical Logic Quarterly

Mathematical Logic Quarterly

Volume 54, Issue 2, pages 176–186, April 2008

Additional Information

How to Cite

Haveshki, M. and Eslami, E. (2008), n -fold filters in BL-algebras. Mathematical Logic Quarterly, 54: 176–186. doi: 10.1002/malq.200710029

Author Information

  1. Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Publication History

  1. Issue published online: 7 MAR 2008
  2. Article first published online: 7 MAR 2008
  3. Manuscript Accepted: 14 AUG 2007
  4. Manuscript Revised: 27 JUL 2007
  5. Manuscript Received: 17 JUL 2007

Funded by

  • Fuzzy Sets and Its Application Center of Excellence

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Keywords:

  • n -fold (positive) implicative basic logic;
  • n -fold (positive) implicative BL-algebra;
  • n -fold (positive) implicative filter;
  • Gödel algebra;
  • Boolean algebra

Abstract

In this paper we introduce n -fold (positive) implicative basis logic and the related algebras called n -fold (positive) implicative BL-algebras. Also we define n -fold (positive) implicative filters and we prove some relations between these filters and construct quotient algebras via these filters. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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