Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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FUZZY IDEALS OF K(G)-ALGEBRAS

  • JUN, YOUNG BAE (Department of Mathematics Education and (RINS) Gyeongsang National University) ;
  • PARK, CHUL HWAN (Department of Mathematics University of Ulsan)
  • Received : 2006.08.21
  • Published : 2006.12.31
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Abstract

Further properties on a fuzzy ideal of a right K(G)-algbera $\mathcal{G}$ are investigated. Using a family of ideals of a right K(G)-algebra $\mathcal{G}$ with additional conditions, a fuzzy ideal of $\mathcal{G}$ is established. Given a fuzzy set $\mu$ in $\mathcal{G}$, the least fuzzy ideal of $\mathcal{G}$ containing $\mu$ is described. Using a chain of ideals of $\mathcal{G}$, a fuzzy ideal of $\mathcal{G}$ is constructed, and their properties are investigated.

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