Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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STRONGLY PRIME FUZZY IDEALS AND RELATED FUZZY IDEALS IN AN INTEGRAL DOMAIN

  • Kim, Myeong Og (Department of Mathematics Kyungpook National University) ;
  • Kim, Hwankoo (Department of Information Security Hoseo University)
  • Received : 2009.04.27
  • Accepted : 2009.08.20
  • Published : 2009.09.30
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Abstract

We introduce the concepts of strongly prime fuzzy ideals, powerful fuzzy ideals, strongly primary fuzzy ideals, and pseudo-strongly prime fuzzy ideals of an integral domain R and we provide characterizations of pseudo-valuation domains, almost pseudo-valuation domains, and pseudo-almost valuation domains in terms of these fuzzy ideals.

Keywords

References

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