On fuzzy subnear-rings and ideals (Q1182028)
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scientific article; zbMATH DE number 29305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fuzzy subnear-rings and ideals |
scientific article; zbMATH DE number 29305 |
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On fuzzy subnear-rings and ideals (English)
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27 June 1992
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The author introduces the concept of a fuzzy subnear-ring of a ring as a fuzzy subgroup with respect to the additive ring operation and a fuzzy subgroupoid with respect to the multiplicative ring operation. He also introduces the concepts fuzzy ideal and fuzzy prime ideal in nearrings. It is proven that a non-trivial ideal of a near-ring is a prime ideal iff its characteristic mapping is a fuzzy prime ideal. Moreover it turns out that the concepts fuzzy subnear-ring and fuzzy ideal can be characterized in terms of \(\alpha\)-levels.
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fuzzy subnear-rings
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fuzzy subgroups
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fuzzy ideals
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fuzzy prime ideals
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nearrings
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\(\alpha\)-levels
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