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島根大学総合理工学部紀要. シリーズB Volume 31
published_at 1998-03
Annihilators in BCK-algebras(II)
Kondo Michiro
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In this paper we show that for every BCI-algebra X,
(1) the family CI(X) of all closed ideal in X forms a pseudo-complemented distributive lattice if and only if X is the BCK-algebra;
(2) ∀A ∈ CI(X)A ⊆ A^<**>⇔ X is the BCK-algebra ;
(1) the family CI(X) of all closed ideal in X forms a pseudo-complemented distributive lattice if and only if X is the BCK-algebra;
(2) ∀A ∈ CI(X)A ⊆ A^<**>⇔ X is the BCK-algebra ;
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