The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON FUZZY QUOTIENT RINGS AND CHAIN CONDITIONS

  • Lee, Kyoung-Hee (Division of Liberal Arts, Korea University of Texhnology And Education)
  • Published : 2000.05.01
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Abstract

We prove some characterization of rings with chain conditions in terms of fuzzy quotient rings and fuzzy ideals. We also show that a ring R is left Artinian if and only of the set of values of every fuzzy ideal on R is upper well-ordered.

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