A characterization of prime and semiprime ideals of groupoids in terms of fuzzy subsets (Q2748614)
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scientific article; zbMATH DE number 1660473
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of prime and semiprime ideals of groupoids in terms of fuzzy subsets |
scientific article; zbMATH DE number 1660473 |
Statements
5 September 2002
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fuzzy ideals
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prime fuzzy subsets
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prime ideals of groupoids
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semiprime fuzzy subsets
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semiprime ideals of groupoids
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A characterization of prime and semiprime ideals of groupoids in terms of fuzzy subsets (English)
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In this short note the authors characterize the prime and semiprime ideals of a groupoid \(S\) in terms of the fuzzy subsets \(f_I\), where \(f_I\) is the characteristic function of \(I\). The authors prove that a non-empty subset \(I\) of a groupoid \(S\) is a prime (resp. semiprime) ideal of \(S\) if and only if the fuzzy ideal \(f_I\) is prime (resp. semiprime).
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