• Title/Summary/Keyword: powerful fuzzy ideal

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STRONGLY PRIME FUZZY IDEALS AND RELATED FUZZY IDEALS IN AN INTEGRAL DOMAIN

  • Kim, Myeong Og;Kim, Hwankoo
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.333-351
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    • 2009
  • 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.

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