Fuzzy ideals of Artinian rings (Q916758)
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scientific article; zbMATH DE number 4154665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy ideals of Artinian rings |
scientific article; zbMATH DE number 4154665 |
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Fuzzy ideals of Artinian rings (English)
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1990
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Main result: A ring R with unity is Artinian iff every of its fuzzy ideals I: \(R\to [0,1]\) is finitely valued. The author discusses also a few related results of \textit{T. K. Mukherjee}, \textit{M. K. Sen} [ibid. 21, 99-104 (1987; Zbl 0617.13001)] and \textit{F. Z. Pan} [ibid. 21, 105-113 (1987; Zbl 0616.16013)].
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Artinian ring
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level set
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fuzzy ideals
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finitely valued
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