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Direct product of anti N-H-ideals in BCK-algebras

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor DE, Malaysia.

Annals of Communications in Mathematics 2020, 3 (4), 309-316. https://doi.org/10.62072/acm.2020.030408

Received: 30 November 2020 |

Accepted: 24 December 2020 |

Published: 31 December 2020

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Abstract

In this paper, we introduce the notion of anti N -H-ideals of a BCK-algebra. Then, the notion of the direct product of two anti N -H-ideals by using minimum operation is introduced, and some related properties are studied. Ordinary H-ideals are linked with anti N -H-ideals by means of an anti N -s-level set of the direct product of two N – structures.

Keywords

Anti N -H-ideal; Anti N -ideal; BCK-algebra; H-ideal; N -structure

Cite This Article

Anas Al-Masarwah.

Direct product of anti N-H-ideals in BCK-algebras.

Annals of Communications in Mathematics

2020,

3 (4):

309-316.

https://doi.org/10.62072/acm.2020.030408

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/).