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Doubt N-ideals theory in BCK-algebras based on N-structures

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1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor DE, Malaysia2Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

* Corresponding Author: Anas Al-Masarwah. Email:

Annals of Communications in Mathematics 2020, 3 (1), 54-62. https://doi.org/10.62072/acm.2020.030106

Received: 29 February 2019 |

Accepted: 25 April 2020 |

Published: 31 March 2020

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Abstract

The notions of doubt N -subalgebras and doubt N -ideals in BCK-algebras are introduced, and related properties are investigated. Characterizations of a doubt N – subalgebra and a doubt N -ideal are given, and relations between them are discussed.

Keywords

BCK/BCI-algebra; Doubt N -ideal; Doubt N -subalgebra; N -structures

Cite This Article

Anas Al-Masarwah, Abd Ghafur Ahmad, G. Muhiuddin.

Doubt N-ideals theory in BCK-algebras based on N-structures.

Annals of Communications in Mathematics

2020,

3 (1):

54-62.

https://doi.org/10.62072/acm.2020.030106

Copyright © 2020 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).