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Remarks on the structure of the multiplicative monoid of integers modulo \(m\) (Q1209283)

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scientific article; zbMATH DE number 167680
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English
Remarks on the structure of the multiplicative monoid of integers modulo \(m\)
scientific article; zbMATH DE number 167680

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    Remarks on the structure of the multiplicative monoid of integers modulo \(m\) (English)
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    16 May 1993
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    In this short note the author shows some characterizations of \({\mathcal H}\)- classes, Schützenberger groups and regular elements in the multiplicative semigroup \(\mathbb{Z}_ m\) of integers modulo \(m\) in terms of groups of units, divisibility and related number theoretical notions.
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    \({\mathcal H}\)-classes
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    Schützenberger groups
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    regular elements
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    multiplicative semigroup
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    groups of units
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    divisibility
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