n-FOLD (POSITIVE) IMPLICATIVE FILTERS OF HOOPS

Authors

  • Chengfang Luo Northwest University - School of Mathematics
  • Xiaolong Xin Northwest University - School of Mathematics
  • Pengfei He Shaanxi Normal University - College of Mathematics and Information Science

Keywords:

Hoop, filter, n-fold (positive) implicative filter, n-fold (positive) implicative (bounded) hoop

Abstract

The aim of this paper is to develop the filter theory of hoops.  First, the concept of n-fold (positive) implicative (bounded) hoop and n-fold (positive) implicative filter are introduced.  Also, the relationship between these filters and other filters on hoops are discussed.  Moreover, conditions for a filter becomes a n-fold (positive) implicative filter are given.  Finally, we consider some relations between these filters and quotient algebras.

Cover of n°38 Italian Journal of Pure and Applied Mathematics

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Published

2017-07-31

How to Cite

Luo, C., Xin, X., & He, P. (2017). n-FOLD (POSITIVE) IMPLICATIVE FILTERS OF HOOPS. Italian Journal of Pure and Applied Mathematics, 37, 631–642. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6769

Issue

N°38 - July 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Chengfang Luo, Xiaolong Xin, Pengfei He

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)