Finitely Generated Weakly Reductive Commutative Semigroups∗

نویسندگان

  • J. C. Rosales
  • J. I. Garćıa-Garćıa
چکیده

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 N -semigroups. MSC 2000: 20M14, 20M30

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تاریخ انتشار 2001