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Commutative Ideals in BE-algebras

Arsham Borumand Saeid|Akbar Rezaei
경북대학교 자연과학대학 수학과|2012.12|Kyungpook Mathematical Journal|제52권 제4호|pp. 483-494

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키워드

BE-algebraself distributiveobstinate idealcommutative idealsemilatticenearlattice
주제분류수학

초록

In this paper we study properties of commutative BE{algebras and we give the construction of quotient (X=I; ; I) of a commutative BE{algebra X via an obstinate ideal I of X. We construct upper semilattice and prove that is a nearlattice. Finally we define and study commutative ideals in BE-algebras.

Abstract

In this paper we study properties of commutative BE{algebras and we give the construction of quotient (X=I; ; I) of a commutative BE{algebra X via an obstinate ideal I of X. We construct upper semilattice and prove that is a nearlattice. Finally we define and study commutative ideals in BE-algebras.

참고문헌 (12)

  1. Sun Shin Ahn, "On generalized upper sets in BE-algebras", 대한수학회보, 46(2), pp.281~287 (2009), 대한수학회
  2. S. S. Ahn, "On ideals and upper sets in BE-algebras", Sci. Math. Jpn., 68(2), pp.279~285 (2008)
  3. I. Chajda, "Semilattice Structures" (2007), Heldermann Verlag
  4. Y. Huang, "BCI-algebra" (2006), Science Press
  5. Y. Imai, "On axiom systems of propositional Calculi", XIV Proc. Jpn. Academy, 42, pp.19~22 (1966)
  6. H. S. Kim, "On BE-Algebras", Sci. Math. Japon, pp.1299~1302 (2006)
  7. B. L. Meng, "On Filters in BE-algebras", Sci. Math. Jap, pp.105~111 (2010)
  8. A. Rezaei, "Saeid, On fuzzy subalgebras of BE{algebras", Afrika Matematika, 22(2), pp.115~127 (2011)
  9. A. Rezaei, "Congruencec relations on BE-algebras", 3th Math. Sci. Con. of PNU, Mash- had, Iran, pp.57~64 (2010)
  10. A. Rezaei, "Saeid, Some results on BE algebras, Analele Universitatii Oradea Fasc", Matematica, Tom, XIX, pp.33~44 (2012)
  11. 전영배, "Fuzzy Ideals in BE-Algebras", BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 33(0), pp.147~153 (2010), Bulletin of the Malaysian Sciences Society
  12. A. Walendziak, "On commutative BE-algebras", Sci. Math. Japon, pp.585~588 (2008)

관련 논문AI추천

On generalized upper sets in BE-algebras소금숙, Sun Shin Ahn대한수학회 · 대한수학회보2009 · 제46권 제2호FILTERS IN COMMUTATIVE BE-ALGEBRAS고정미, 김영희, 안선신대한수학회 · 대한수학회논문집2012 · 제27권 제2호On BN-algebras김창범, 김희식경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호SMARANDACHE WEAK BE-ALGEBRASArsham Borumand Saeid대한수학회 · 대한수학회논문집2012 · 제27권 제3호N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호Interval-valued ideals in BCK-algebras허걸, 백종일, 한상현, S. M. Mostafa기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제2호

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