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Oversemigroups of a valuation semigroup (Q2716862)

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scientific article; zbMATH DE number 1599526
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English
Oversemigroups of a valuation semigroup
scientific article; zbMATH DE number 1599526

    Statements

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    2 December 2001
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    submonoids of torsion-free Abelian groups
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    oversemigroups
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    quotient semigroups
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    valuation semigroups
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    ideal transforms
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    completely integrally closed semigroups
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    Oversemigroups of a valuation semigroup (English)
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    The author studies semigroup versions of standard results from the multiplicative theory of integral domains, where by a semigroup we mean a submonoid of a torsion-free Abelian group. Some of the topics investigated include oversemigroups, quotient semigroups, valuation semigroups, ideal transforms, and completely integrally closed semigroups.
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