한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제18권4호
  • /
  • Pages.293-304
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  • 2011
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  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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AN APPLICATION OF COMPLICATEDNESS TO BH-ALGEBRAS

  • Kim, Eun-Mi (Department of Mathematics Education, Dongguk University) ;
  • Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University)
  • 투고 : 2011.03.10
  • 심사 : 2011.11.17
  • 발행 : 2011.11.30
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초록

The notions of an initial section and a special set in BH-algebras are defined and some of their properties are obtained. The notion of a complicated BH-algebra is introduced and some related properties are obtained. Finally, the notion of essences in BH-algebras are defined, and many properties are investigated.

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참고문헌

  1. S.S. Ahn & J.H. Lee: Rough strong ideals in BH-algebras. Honam Math. J. 32 (2010), 203-215. https://doi.org/10.5831/HMJ.2010.32.2.203
  2. K. Iseki: On BCI-algebras. Mathematics Seminar Notes 8 (1980), 125-130.
  3. K. Iseki & S. Tanaka: An introduction to the theory of BCK-algebras. Math. Japonica 23 (1978), 1-26.
  4. Y.B. Jun, E.H. Roh & H.S. Kim: On BH-algebras. Scientae Math. 1 (1998), 347-354.
  5. J. Meng: Implicative commutative semigroups are equivalent to a class of BCK- algebras. Semigroup Forum 50 (1995), 89-96. https://doi.org/10.1007/BF02573506
  6. J. Meng & Y.B. Jun: BCK-algebras. Kyung Moon Sa, Seoul, 1994.
  7. D. Mundici: MV -algebras are categorically equivalent to bounded commutative BCK-algebras. Math. Japon. 31 (1986), 889-894.
  8. E.H. Roh & S.Y. Kim: On BH*-subalgebras of transitive BH*-algebras. Far East J. Math. Sci. 1 (1999), 255-263.