• 제목/요약/키워드: BH-algebras

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R-MAPS AND L-MAPS IN BH-ALGEBRAS

  • Ahn, Sun Shin;Kim, Hee Sik
    • 충청수학회지
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    • 제13권2호
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    • pp.53-59
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    • 2001
  • In this paper, we introduce the notion of positive implicative BH-algebras and study some relations between R - (L-) maps and positive implicativity in BH-algebras.

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AN APPLICATION OF COMPLICATEDNESS TO BH-ALGEBRAS

  • Kim, Eun-Mi;Ahn, Sun-Shin
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제18권4호
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    • pp.293-304
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    • 2011
  • 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.

ON PSEUDO BH-ALGEBRAS

  • JUN, YOUNG BAE;AHN, SUN SHIN
    • 호남수학학술지
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    • 제37권2호
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    • pp.207-219
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    • 2015
  • As a generalization of BH-algebras, the notion of pseudo BH-algebra is introduced, and some of their properties are investigated. The notions of pseudo ideals, pseudo atoms, pseudo strong ideals, and pseudo homomorphisms in pseudo BH-algebras are introduced. Characterizations of their properties are provided. We show that every pseudo homomorphic image and preimage of a pseudo ideal is also a pseudo ideal. Any pseudo ideal of a pseudo BH-algebra can be decomposed into the union of some sets. The notion of pseudo complicated BH-algebra is introduced and some related properties are obtained.

APPLICATIONS OF COUPLED N-STRUCTURES IN BH-ALGEBRAS

  • Seo, Min Jeong;Ahn, Sun Shin
    • 호남수학학술지
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    • 제34권4호
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    • pp.585-596
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    • 2012
  • The notions of a $\mathcal{N}$-subalgebra, a (strong) $\mathcal{N}$-ideal of BH-algebras are introduced, and related properties are investigated. Characterizations of a coupled $\mathcal{N}$-subalgebra and a coupled (strong) $\mathcal{N}$-ideals of BH-algebras are given. Relations among a coupled $\mathcal{N}$-subalgebra, a coupled $\mathcal{N}$-ideal and a coupled strong $\mathcal{N}$ of BH-algebras are discussed.

FALLING SUBALGEBRAS AND IDEALS IN BH-ALGEBRAS

  • Kim, Eun-Mi;Ahn, Sun-Shin
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권3호
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    • pp.251-262
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    • 2012
  • Based on the theory of a falling shadow which was first formulated by Wang([14]), a theoretical approach of the ideal structure in BH-algebras is established. The notions of a falling subalgebra, a falling ideal, a falling strong ideal, a falling $n$-fold strong ideal and a falling translation ideal of a BH-algebra are introduced. Some fundamental properties are investigated. Relations among a falling subalgebra, a falling ideal and a falling strong ideal, a falling $n$-fold strong ideal are stated. A relation between a fuzzy subalgebra/ideal and a falling subalgebra/ideal is provided.