Fundamental pseudo BCK-algebras

Document Type : Research Paper

Authors

1 Department of Mathematics, Shahid Chamran University of Ahvaz, P.O.Box 61357- 83151, Ahvaz, Iran

2 Department of Mathematics, Shahid Beheshti University, P.O.Box 1983969411, Tehran, Iran

3 Department of Mathematics, Payame Noor University of Tehran, P.O.Box 1659639884,Tehran, Iran

Abstract

In this paper, we de ne the relations   and   on hyper pseudo BCK-algebras and investigate some related properties. We give a necessary and sucient condition for   to be regular. By us- ing  , we make the quotient hyper pseudo BCK-algebra. Finally, by applying the concept of fundamental on pseudo BCK-algebra, we prove that any pseudo BCK-algebra is fundamental.

Keywords

References

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Journal of Hyperstructures
Volume 5, Issue 2
December 2016
Pages 93-107

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