| Title:
|
Principal ideals of finitely generated commutative monoids (English) |
| Author:
|
Rosales, J. C. |
| Author:
|
García-García, J. I. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
75-85 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
monoid |
| Keyword:
|
ideal |
| Keyword:
|
cancellative |
| Keyword:
|
torsion free |
| MSC:
|
20M05 |
| MSC:
|
20M12 |
| MSC:
|
20M14 |
| MSC:
|
20M30 |
| idZBL:
|
Zbl 1003.20052 |
| idMR:
|
MR1885458 |
| . |
| Date available:
|
2009-09-24T10:49:14Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127703 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[7] L. Rédei: The theory of finitely commutative semigroups.Pergamon, Oxford-Edinburgh-New York, 1965. MR 0188322 |
| Reference:
|
[8] J. C. Rosales and P. A. García-Sánchez: Finitely generated commutative monoids.vol. xiv, Nova Science Publishers, New York, 1999. MR 1694173 |
| Reference:
|
[9] J. C. Rosales and J. M. Urbano-Blanco: A deterministic algorithm to decide if a finitely presented monoid is cancellative.Comm. Algebra 24 (1996), 4217–4224. MR 1414579, 10.1080/00927879608825809 |
| Reference:
|
[10] J. C. Rosales: On finitely generated submonoids of $N^k$.Semigroup Forum 50 (1995), 251–262. MR 1315517, 10.1007/BF02573522 |
| Reference:
|
[11] J. C. Rosales and P. A. García-Sánchez: Presentations for subsemigroups of finitely generated commutative semigroups.Israel J. Math. 113 (1999), 269–283. MR 1729450, 10.1007/BF02780180 |
| . |
