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ISSN : 1226-0657

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Vol.7 No.1
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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Lee,, K. (2000). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 7(1), 33-40.
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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.

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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