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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 ABSTRACT | FULL TEXT

Young Bae JUN
min Su KANG
Pages
435–447
Publication Date
2012-04-01
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 introduced.
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Key Findings & Data:Conditions foran N-structure to be an N-ideal are provided.
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Conclusion & Impact:Characterizations of ([e], [e]∨[c])-ideals are discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:(Transitive · Ideal · N-ideal

Abstract

Using N-structures, the notion of an N-ideal in a BE-algebra is introduced. Characterizations of an N-ideal are discussed. Conditions foran N-structure to be an N-ideal are provided. To obtain a more general form of an N-ideal, a point N-structure which is (conditionally)employed in an N-structure is proposed. Using these notions, the concept of an ([e], [e]∨[c])-ideal is introduced, and related properties areinvestigated. Characterizations of ([e], [e]∨[c])-ideals are discussed.

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Cite This Article

JUN, Y. B., KANG, M. S. (2012). Ideal Theory of BE-Algebras Based on N-Structures ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 435–447. https://ajindex.com/articles/669633

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References (6)

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