POSITIVE IMPLICATIVE ENERGETIC SUBSETS OF BCK-ALGEBRAS

Authors

  • Xiao Long Xin Chang An Campus of Northwest University - School of Mathematics
  • Young Bae Jun Gyeongsang National University - Department of Mathematics Education

Keywords:

S-energetic subset, I-energetic subset, PI-energetic subset

Abstract

The notion of PI-energetic subsets in BCK-algebras is introduced, and several properties are investigated.  Characterizations of I-energetic subsets and PI-energetic subsets are discussed, and conditions for a subset to be an I-energetic subset and a PI-energetic subset are provided.  Relations between I-energetic subsets and PI-energetic subsets are considered, and conditions for an I-energetic subset to be a PI-energetic subset are given.  Using PI-energetic subset, a positive implicative ideal is constructed.  The condensational property of PI-energetic subset is established.

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

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Published

2017-07-31

How to Cite

Xin, X. L., & Jun, Y. B. (2017). POSITIVE IMPLICATIVE ENERGETIC SUBSETS OF BCK-ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 37, 607–614. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6772

Issue

N°38 - July 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Xiao Long Xin, Young Bae Jun

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)