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Rosales, J. C.; García-García, J. I.

Principal ideals of finitely generated commutative monoids. (English) Zbl 1003.20052

Czech. Math. J. 52, No. 1, 75-85 (2002).
Summary: We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations.

MSC:

20M14 Commutative semigroups
20M12 Ideal theory for semigroups
20M05 Free semigroups, generators and relations, word problems

Keywords:

finitely generated commutative monoids; principal ideals; cancellative monoids; presentations
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\textit{J. C. Rosales} and \textit{J. I. García-García}, Czech. Math. J. 52, No. 1, 75--85 (2002; Zbl 1003.20052)
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References:

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