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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

Ideal theory of BE-algebras based on N-structures

Min Su KANG
Young Bae JUN
Pages
435–447
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Characterizations of ([e], [e]∨[c])-ideals are discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Using N-structures, the notion of an N-ideal in a BE-algebra is intro- duced.
📊
Key Findings & Data:Characterizations of an N-ideal are discussed.
💡
Conclusion & Impact:Characterizations of ([e], [e]∨[c])-ideals are discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Using N-structures, the notion of an N-ideal in a BE-algebra is intro- duced. Characterizations of an N-ideal are discussed. Conditions for an N-structure to be an N-ideal are provided. To obtain a more gen- eral form of an N-ideal, a point N-structure which is (conditionally) employed in an N-structure is proposed. Using these notions, the con- cept of an ([e], [e]∨[c])-ideal is introduced, and related properties are investigated. Characterizations of ([e], [e]∨[c])-ideals are discussed.

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Cite This Article

KANG, M. S., JUN, Y. B. (2022). Ideal theory of BE-algebras based on N-structures. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 435–447. https://ajindex.com/articles/530459

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