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On generalized upper sets in BE-algebras

소금숙|Sun Shin Ahn
대한수학회 (The Korean Mathematical Society)|2009.03|대한수학회보 (Bulletin of the KMS)|제46권 제2호|pp. 281-287

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참고문헌

키워드

idealBE-algebra(generalized) upper setself distributive
주제분류수학

초록

In this paper, we develop the idea of a generalized upper set in a BE-algebra. Furthermore, these sets are considered in the context of transitive and self distributive BE-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals.

Abstract

In this paper, we develop the idea of a generalized upper set in a BE-algebra. Furthermore, these sets are considered in the context of transitive and self distributive BE-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals.

참고문헌 (10)

  1. Sun Shin Ahn, "Some constructions of implicative", commutative d-algebras, 2009, pp.46(1), 147~153[DOI]
  2. S. S. Ahn, "On ideals and upper sets in BE-algebras", Sci. Math. Jpn., 68(2), pp.279~285 (2008)
  3. Q. P. Hu, "On BCH-algebras", Math. Sem. Notes Kobe Univ, 11(2), pp.313~320 (1983)
  4. Q. P. Hu and, "On proper BCH-algebras", Math. Japon, 30(4), pp.659~661 (1985)
  5. K. Is´eki, "On BCI-algebras", Math. Sem. Notes Kobe Univ, 8(1), pp.125~130 (1980)
  6. K. Is´eki, "An introduction to the theory of BCK-algebras", Math. Japon, 23(1), pp.1~26 (1979)
  7. Y. B. Jun, "On BH-algebras", Sci. Math, 1(3), pp.347~354 (1998)
  8. H. S. Kim, "On BE-algebras", Sci. Math. Jpn, 66(1), pp.113~116 (2007)
  9. J. Meng, "BCK-Algebras" (1994), Kyung Moon Sa
  10. J. Neggers, "On d-algebras", Math. Slovaca, 49(1), pp.19~26 (1999)

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