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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.7 No.1

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ON FUZZY QUOTIENT RINGS AND CHAIN CONDITIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2000, v.7 no.1, pp.33-40
Lee, Kyoung-Hee (Division of Liberal Arts, Korea University of Texhnology And Education)
Lee, Kyoung-Hee. (2000). ON FUZZY QUOTIENT RINGS AND CHAIN CONDITIONS. 한국수학교육학회지시리즈B:순수및응용수학, 7(1), 33-40.

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.

keywords
fuzzy quotient ring, fuzzy ideal, Artinian rings, Noetherian rings, upper well-ordered

한국수학교육학회지시리즈B:순수및응용수학

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