Atomic Hyper $BCK$-Algebras

Habib Harizavi

doi:10.4134/CKMS.2009.24.3.333

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Commun. Korean Math. Soc. 2009; 24(3): 333-339

Printed September 1, 2009

https://doi.org/10.4134/CKMS.2009.24.3.333

Atomic Hyper $BCK$-Algebras

Habib Harizavi

Shahid Chamran University

Abstract

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Abstract

In this manuscript, we introduce the concept of an atomic subset of the \hk\ and study its properties. Also, we give a characterization of the atomic \hk\ and show that there are exactly (up to isomorphism) $n$ atomic \hks\ $H$ with $|H|=n$ for any natural number $n$.

Keywords: \hk, atomic subset and atomic \hk

MSC numbers: 06F35, 03G25