호남수학학술지 (Honam Mathematical Journal)

  • 제27권2호
  • /
  • Pages.141-162
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  • 2005
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

RESULTS ON HYPERK-ALGEBRAS OF ORDER 3

  • BORZOOEI, R.A. (Department of Mathematics Sistan and Baluchestan University)
  • 투고 : 2005.03.03
  • 발행 : 2005.06.25
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초록

In this paper, by considering the notion of hyperK-algebras of order 3 (which satisfies the simple or normal condition), we state and prove some theorems which determine the relationships between (weak) hyperK-ideals and positive implicative hyperK-ideals of type $1,{\ldots},8$.

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참고문헌

  1. Journal of Discrete Mathematical Sciences and Cryptography v.6 no.1 Some kinds of positive Implicative hyper K-ideals Borzooei, R.A.;Corsini, P.;Zahedi, M.M.
  2. Math. Japon. v.52 no.1 On hyper K-algebras Borzooei, R.A.;Hasankhani, A.;Zahedi, M.M.;Jun, Y.B.
  3. Scientiae Mathematicae Japonicae v.53 no.3 Positive Implicative hyper K-ideals Borzooei, R.A.;Zahedi, M.M.
  4. XIV Proc. Japan Academy v.42 On axiom systems of propositional calculi Imai, Y.;Iseki, K.
  5. Math. Japon v.23 An introduction to the theory of BCK-algebras Iseki, K.;Tanaka, S.
  6. Italian Journal of Pure and Applied Mathematics no.8 On hyper BCK-algebras Jun, Y.B.;Zahedi, M.M.;Xin, X.L.;Borzooei, R.A.
  7. 8th congress Math Sur une generalization de la notion de groups Marty, F.
  8. BCK-algebras Meng, J.;Jun, Y.B.
  9. Scientiae Mathematicae Japonicae v.53 no.1 Some classification of hyper K-algebras of order 3 Zahedi, M.M.;Borzooei, R.A.;Rezaei, H.
  10. Scientiae Mathematicae v.3 no.1 Some results on hyper K-algebra Zahedi, M.M.;Borzooei, R.A.;Jun, Y.B.;Hasankhani, A.