Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A NOTE ON QUASI-*-INVERTIBLE AND *-INVERTIBLE IDEALS

  • Kim, Hwankoo (Department of Information Security Hoseo University) ;
  • Oh, Dong Yeol (Division of Liberal Arts Hanbat National University)
  • Received : 2013.07.30
  • Accepted : 2013.09.27
  • Published : 2013.11.15
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Abstract

Let * be a star-operation on an integral domain R. We show that if R is a $*_{\omega}$-Noetherian domain, then quasi-$*_{\omega}$-invertible prime $*_{\omega}$-ideals of R are minimal, and prime ideals of R minimal over a $*_{\omega}$-invertible $*_{\omega}$-ideal are minimal.

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References

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