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IMI/Publicaţii/QRS/Ediţii/QRS v.11, n.1 (11), 2004/

Some results on hyper BCK-algebras

Authors: R. A. Borzooei, M. Bakhshi

Abstract

In this paper by considering the notion of hyper BCK-algebra, we state and prove some theorems which determine the relationship among (weak) hyper BCK-ideals, positive implicative hyper BCK-ideals of types 1, 3, . . . ,8 and hypersubalgebras, under some suitable conditions. Moreover, we define the notions of commutative hyper BCK-ideals of types 1, 2, 3 and 4 and obtain some results.

R. A. Borzooei,
M. Bakhshi
Department of Mathematics,
Sistan and Baluchestan University,
Zahedan,
Iran.
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