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Finitely generated weakly reductive commutative semigroups - MaRDI portal

Finitely generated weakly reductive commutative semigroups (Q1610976)

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scientific article; zbMATH DE number 1784605
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Finitely generated weakly reductive commutative semigroups
scientific article; zbMATH DE number 1784605

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    Finitely generated weakly reductive commutative semigroups (English)
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    20 August 2002
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    We present the authors' abstract: We give characterizations of the property of being weakly reductive for finitely generated commutative semigroups. As a consequence of these characterizations we obtain an algorithm for determining from a presentation of a finitely generated commutative semigroup whether it is weakly reductive. Furthermore we present some connections between cancellative finitely generated commutative semigroups, Archimedean weakly reductive finitely generated commutative semigroups and \(\mathcal N\)-semigroups.
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    weakly reductive semigroups
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    finitely generated commutative semigroups
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    Archimedean semigroups
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    cancellative semigroups
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    presentations
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    algorithms
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