On the additive semigroup of ordered semirings (Q800395)

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scientific article; zbMATH DE number 3875357
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On the additive semigroup of ordered semirings
scientific article; zbMATH DE number 3875357

    Statements

    On the additive semigroup of ordered semirings (English)
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    1985
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    We examine whether the algebraic structure of the multiplicative semigroup of a totally ordered semiring determines the order structure of the additive semigroup. We also enquire when the additive semigroup is positively ordered in strict sense if the multiplicative semigroup is positively ordered in strict sense.
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    multiplicative semigroup
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    totally ordered semiring
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    additive semigroup
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    positively ordered
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