Semihypergroups and \(S\)-hypersystems (Q2717062)

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scientific article; zbMATH DE number 1604434
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Semihypergroups and \(S\)-hypersystems
scientific article; zbMATH DE number 1604434

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    13 June 2001
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    \(S\)-hypersystems
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    semihypergroups
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    semiprime subsets
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    equivalences
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    Semihypergroups and \(S\)-hypersystems (English)
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    The authors study the smallest equivalence relation \(\beta^*\) on semihypergroups \(H\) such that \(H/\beta^*\) is a semigroup. \(\beta^*\)-closed completely strong semiprime subsets of \(H\) are characterized as intersections of \(\beta^*\)-closed completely semiprime subsets.NEWLINENEWLINENEWLINEA similar relation is studied for \(S\)-hypersystems.
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