HYPER BCK-ALGEBR

M. Bolurian, A. Hasankhani

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.

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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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Copyright (c) 1997 Franco Eugeni

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.