Extension of certain fuzzy ideals of semigroups on strong semilattices (Q2731745)
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scientific article; zbMATH DE number 1626422
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of certain fuzzy ideals of semigroups on strong semilattices |
scientific article; zbMATH DE number 1626422 |
Statements
1 November 2001
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strong semilattices of 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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Extension of certain fuzzy ideals of semigroups on strong semilattices (English)
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The authors investigate the concept of strong semilattice of semigroups [cf. \textit{J. M. Howie}, An introduction to semigroup theory, Academic Press, London (1976; Zbl 0355.20056)]. This concept is applied to an extension of fuzzy ideals from a base semigroup to a strong semilattice of semigroups. Such extension preserves many properties of fuzzy semigroups and fuzzy ideals presented e.g. by \textit{N. Kuroki} [Inf. Sci. 53, No. 3, 203-236 (1991; Zbl 0714.20052); ibid. 75, No. 3, 201-211 (1993; Zbl 0808.20052)].
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