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\(\mathcal N\)-fuzzy ideals in ordered semigroups - MaRDI portal

\(\mathcal N\)-fuzzy ideals in ordered semigroups (Q963525)

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scientific article; zbMATH DE number 5695227
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\(\mathcal N\)-fuzzy ideals in ordered semigroups
scientific article; zbMATH DE number 5695227

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    \(\mathcal N\)-fuzzy ideals in ordered semigroups (English)
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    20 April 2010
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    Summary: We introduce the concept of \(\mathcal N\)-fuzzy left (right) ideals in ordered semigroups and characterize ordered semigroups in terms of \(\mathcal N\)-fuzzy left (right) ideals. We characterize left regular (right regular) and left simple (right simple) ordered semigroups in terms of \(\mathcal N\)-fuzzy left (\(\mathcal N\)-fuzzy right) ideals. The semilattice of left (right) simple semigroups in terms of \(\mathcal N\)-fuzzy left (right) ideals is discussed.
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