\({\mathcal R}\)-primary \(L\)-representations of \(L\)-ideals (Q1364506)
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scientific article; zbMATH DE number 1057124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \({\mathcal R}\)-primary \(L\)-representations of \(L\)-ideals |
scientific article; zbMATH DE number 1057124 |
Statements
\({\mathcal R}\)-primary \(L\)-representations of \(L\)-ideals (English)
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1 November 1998
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Let \(R\) be a commutative ring and \(L\) a complete and a completely distributive lattice. An \(L\)-fuzzy subset of \(R\) is a function \(\mu: R\to L\). We examine the basic properties of prime \(L\)-ideals, primary \(L\)-ideals, and \({\mathcal R}\)-radicals of \(L\)-ideals where \(L\) is a completely distributive lattice. We determine to what extent every \(L\)-ideal has an \({\mathcal R}\)-primary \(L\)-representation.
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\(L\)-fuzzy subset
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