Fuzzy quasi-ideals in semigroups (Q2748629)
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scientific article; zbMATH DE number 1660534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy quasi-ideals in semigroups |
scientific article; zbMATH DE number 1660534 |
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16 October 2002
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regular semigroups
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fuzzy semigroups
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fuzzy ideals
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fuzzy bi-ideals
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fuzzy quasi-ideals
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0.9730258
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0.96662223
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0.9603633
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0.9591897
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0.95639724
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Fuzzy quasi-ideals in semigroups (English)
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Fuzzy ideals in semigroups were examined by many authors (cf., e.g., \textit{N. Kuroki} [Inf. Sci. 53, No. 3, 203-236 (1991; Zbl 0714.20052)]; \textit{D. H. Hong, H. K. Kim, J. Y. Kim} [Kyungpook Math. J. 35, No. 1, 105-112 (1995; Zbl 0839.20074)]; \textit{X. Xie} [J. Fuzzy Math. 8, No. 1, 231-241 (2000; Zbl 0957.20040)]). This paper introduces fuzzy quasi-ideals and compares their properties with fuzzy left, right and bi-ideals. The comparison depends on properties of the base crisp semigroup such as regularity and intra-regularity.
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