호남수학학술지 (Honam Mathematical Journal)

  • 제37권2호
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  • Pages.207-219
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  • 2015
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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ON PSEUDO BH-ALGEBRAS

  • JUN, YOUNG BAE (Department of Mathematics Education, Gyeongsang National University) ;
  • AHN, SUN SHIN (Department of Mathematics Education, Dongguk University)
  • 투고 : 2014.12.26
  • 심사 : 2015.01.26
  • 발행 : 2015.06.25
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초록

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.

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참고문헌

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