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Atomic hyper BCK-algebras

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

Abstract

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

참고문헌 (4)

  1. R. A. Borzooei, "Regular congruence relations on Hyper BCK-algebras", Scientiae Mathematicae Japonicae, 61(1), pp.83~97 (2005)
  2. Y. Imai, "On axiom systems of propositional calculi XIV", Proc. Japan Academy, 42, pp.19~22 (1966)
  3. Y. B. Jun, "Strong hyper BCK-ideals of hyper BCK-algebra", Mathematicae Japonicae, 51(3), pp.493~498 (2000)
  4. Y. B. Jun, "On hyper BCK-algebra", Italian Journal of Pure and Applied Mathematics, Oxford Ser., 10, pp.127~136 (2000)

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