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AN APPLICATION OF COMPLICATEDNESS TO BH-ALGEBRAS
한국수학교육학회|2011.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제4호|pp. 293-304
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The notions of an initial section and a special set in BH-algebras are de¯ned 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 de¯ned, and many properties are investigated.
Abstract
The notions of an initial section and a special set in BH-algebras are de¯ned 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 de¯ned, and many properties are investigated.
참고문헌 (8)
- 안선신, "ROUGH STRONG IDEALS IN BH-ALGEBRAS", 호남수학학술지, 32(2), pp.203~215 (2010), 호남수학회
- K. Iseki, "On BCI-algebras", Mathematics Seminar Notes, 통권 : 8, pp.125~130 (1980)
- K. Iseki, "An introduction to the theory of BCK-algebras", Math. Japonica, 23, pp.1~26 (1978)
- Y.B. Jun, "On BH-algebras", Scientae Math, 1, pp.347~354 (1998)
- J. Meng, "Implicative commutative semigroups are equivalent to a class of BCK-algebras", Semigroup Forum, 통권 : 50, pp.89~96 (1995)
- J. Meng, "BCK-algebras" (1994), Kyung Moon Sa
- D. Mundici, "MV -algebras are categorically equivalent to bounded commutative BCK-algebras", Math. Japon, 31, pp.889~894 (1986)
- E.H. Roh, "On BH¤-subalgebras of transitive BH¤-algebras", Far East J. Math. Sci, 1, pp.255~263 (1999)
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