ON HYPER BCH-ALGEBRA

Authors

  • M. Sajjad Ali Khan Hazara University - Department of Mathematics
  • Khaista Rahman Hazara University - Department of Mathematics
  • S. Abdullah Abdul Wali Khan University - Department of Mathematics
  • Fawad Hussain Abbottabad University of Science and Technology - Department of Mathematics

Keywords:

hyper BCH-algebra, hyper BCH-ideals, week hyper BCH-ideals, Strong hyper BCH-ideals, homomorphism

Abstract

In this paper we initiate the concept of a hyper BCH-algebra which is a generalization of a BCH-algebra, and hyper BCK/BCI algebras and investigate some related properties.  Moreover we introduce a hyper BCH-ideal, weak hyper BCH-ideal and strong hyper BCH-ideal in hyper BCH-algebras, and give a few relations among these hyper BCH-ideals.  Finally we define homomorphism of hyper BCH-algebras.

Cover of n°41 Italian Journal of Pure and Applied Mathematics

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Published

2019-02-27

How to Cite

Khan, M. S. A., Rahman, K., Abdullah, S., & Hussain, F. (2019). ON HYPER BCH-ALGEBRA. Italian Journal of Pure and Applied Mathematics, 41, 85–96. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7150

Issue

N°41 - February 2019

Section

Articoli - Forum Editrice

License

Copyright (c) 2019 M. Sajjad Ali Khan, Khaista Rahman, S. Abdullah, Fawad Hussain

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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