HYPER BCK-ALGEBR

Authors

  • M. Bolurian Department of Engineering and Tlechnologv Islamic Azad university-Branch Najafabad, Iran
  • A. Hasankhani Department of Mathematics, Sistan and Baloochestan University, Zahedan, Iran

Abstract

In this note the notion of a hyper BCK-algebra which is a generalization of a BCK-algebra introduced, and some basic properties for this algebra are proved. Then the notions of P-ideals and hyper-congruence relations are introduced, and the relationship between them on a positive implicative hyper Bek-algebra with condition (8), are spec-ified.

References

Y. Imai and K. Iseki, On axiom systems of propositional calculi XIV, Proc. Japan Academi, 42(1966), 19-22.

K. Isaki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japanicae 23. No. 1 (1978), 1-26.

K. Isaki and S. Tanaka, Ideal theory of BCK-algebra, Math. Japan-icae 21 (1976), 351-366.

F. Marty, Sur tine generalisation de la notion de group, Actes d18 me congres des mathematiciens scandinaves, Stockholm (1934), 4549.

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Published

1997-02-18

Issue

Vol. 12 (1997)

Section

Volume 12-1997

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