Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Note on Theta Pairs for BCI-algebras

  • Received : 2023.09.12
  • Accepted : 2023.12.07
  • Published : 2024.06.30
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Abstract

In this paper, first we show that all finite BCI-algebras are solvable. We then introduce the notion of a θ-pair for a maximal ideal of a BCI-algebra. Proving various properties of maximal θ-pairs, we use them to characterize solvable and nilpotent BCI-algebras.

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References

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