대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제24권3호
  • /
  • Pages.333-339
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  • 2009
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ATOMIC HYPER BCK-ALGEBRAS

  • 발행 : 2009.07.31
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초록

In this manuscript, we introduce the concept of an atomic subset of 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.

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참고문헌

  1. R. A. Borzooei and H. Harizavi, Regular congruence relations on Hyper BCK-algebras, Scientiae Mathematicae Japonicae 61 (2005), no. 1, 83–97
  2. Y. Imai and K. Is´eki, On axiom systems of propositional calculi XIV, Proc. Japan Academy 42 (1966), 19–22
  3. Y. B. Jun, X. L. Xin, E. H. Roh, and M. M. Zahedi, Strong hyper BCK-ideals of hyper BCK-algebra, Mathematicae Japonicae, Vol. 51 (2000), no. 3, 493–498
  4. Y. B. Jun, M. M. Zahedi, X. L. Xin, and R. A. Borzooei, On hyper BCK-algebra, Italian Journal of Pure and Applied Mathematics, Oxford Ser. 10 (2000), 127–136