Annihilators in BCK-algebras(II)

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Title
Annihilators in BCK-algebras(II)
Creator
Kondo Michiro
Source Title
島根大学総合理工学部紀要. シリーズB
Volume 31
Start Page 21
End Page 25
Journal Identifire
ISSN 13427121
Descriptions
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 ;
Subjects
Annihilator ( Other)
BCK-algebra ( Other)
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学部
Date of Issued 1998-03
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA11157123