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ON FUZZY QUOTIENT RINGS AND CHAIN CONDITIONS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 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
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