Wreath products of ordered semigroups. II: Inverse ordered wreath products (Q762521)

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scientific article; zbMATH DE number 3889606
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Wreath products of ordered semigroups. II: Inverse ordered wreath products
scientific article; zbMATH DE number 3889606

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    Wreath products of ordered semigroups. II: Inverse ordered wreath products (English)
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    1985
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    [Part I cf. ibid. 27, 331-350 (1983; Zbl 0524.06023).] Necessary and sufficient conditions are given for an ordered wreath product of ordered semigroups by ordered acts to be inverse. For Cartesian ordered wreath products, conditions are given for the operation \(x\mapsto x^{-1}\) to be isotone or antitone.
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    ordered wreath product
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    ordered semigroups
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    ordered acts
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    Cartesian ordered wreath products
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