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Cubic structures applied to ideals of BCI-algebras. (English) Zbl 1236.06028

Summary: The notions of cubic \(a\)-ideals and cubic \(p\)-ideals are introduced, and several related properties are investigated. Characterizations of a cubic \(a\)-ideal are established. Relations between cubic \(p\)-ideals, cubic \(a\)-ideals and cubic \(q\)-ideals are discussed. The cubic extension property of a cubic \(a\)-ideal is discussed.

MSC:

06F35 BCK-algebras, BCI-algebras
03G25 Other algebras related to logic
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References:

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