INTEGRAL FILTERS AND INTEGRAL BL-ALGEBRAS

Authors

  • Rajab Ali Borzooei Shahid Beheshti University - Department of Mathematics
  • A. Paad Shahid Beheshti University - Department of Mathematics

Keywords:

BL-algebra, integral BL-algebra, BL-algebra with Godel negation, Gödel algebra, MV-algebra, fantastic, primary, integral, perfect and positive implicative filter

Abstract

In this paper, we introduce the concepts of integral filters and integral BL-algebras.  With respect to concepts, we give some related results.  In particular, we prove that an integral BL-algebra is a perfect, local, directly indecomposable BL-algebra and SBL-algebra.  Also, we give some relations among integral filters and some types of filters in BL-algebras, such as prime, primary, perfect, fantastic, positive implicative and obstinate filters. 

Cover of n°30 Italian Journal of Pure and Applied Mathematics

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Published

2013-05-24

How to Cite

Borzooei, R. A., & Paad, A. (2013). INTEGRAL FILTERS AND INTEGRAL BL-ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 30, 303–316. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6076

Issue

N°30 - May 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 Rajab Ali Borzooei, A. Paad

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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