KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 41 Issue: 4

Ideal Theory of BE-Algebras Based on N-Structures ABSTRACT | FULL TEXT

Young Bae Jun
min Su Kang
Sayfa
—
Yayın Tarihi
2012-04-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Using N-structures, the notion of an N-ideal in a BE-algebra is introduced.
📊
Temel Bulgular & Veri:Characterizations of an N-ideal are discussed.
💡
Sonuç & Katkı:Characterizations of ([e], [e]∨[c])-ideals are discussed.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:(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 for an 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 are investigated. Characterizations of ([e], [e]∨[c])-ideals are discussed.

🔖

Bu Makaleye Atıf Yap

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, Volume: 41 Issue: 4. https://ajindex.com/articles/1403529

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (7)

  1. Ahn, S. S. and So, K. S. On ideals and upper sets in BE-algerbas, Sci. Math. Japan 68, 279–285, 2008.
  2. Imai, Y. and Is´eki, K. On axiom systems of propositional calculi XIV, Proc. Japan Academy 42, 19–22, 1966.
  3. Is´eki, K. An algebra related with a propositional calculus, Proc. Japan Academy 42, 26–29, 1966.
  4. Jun, Y. B., Lee, K. J. and Song, S. Z. N-ideals of BCK/BCI-algebras, J. Chungcheong Math. Soc. 22, 417–437, 2009.
  5. Kim, H. S. and Kim, Y. H. On BE-algerbas, Sci. Math. Jpn. 66, 113–116, 2007.
  6. Molodtsov, D. Soft set theory - First results, Comput. Math. Appl. 37, 19–31, 1999.
  7. Song, S. Z., Jun, Y. B. and Lee, K. J. Fuzzy ideals in BE-algebras, Bull. Malays. Math. Sci. Soc. 33, 147–153, 2010.