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Subsemigroups of N

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Message #229 of 654 |

Where do I find a proof that every subsemigroup of the additive group
of all natural numbers is finitely generated?

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Fri Oct 8, 2004 1:52 pm

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Jiri Adamek <adamek@...>

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Message #229 of 654 |

Expand Messages	Author	Sort by Date
Where do I find a proof that every subsemigroup of the additive group of all natural numbers is finitely generated? ...	Jiri Adamek adamek@...	Oct 8, 2004 1:53 pm
Hi, I guess that some elementary number theory texts have this; I'm not sure. I published a paper in JSL around 1971 (vol. 36) showing that the first order...	Mckenzie, Ralph N mckenzie@...	Oct 8, 2004 2:53 pm
Dear Ralph, I think I will send you some math questions over the holidays, when I read what JB sent us. Now, I just wonder if you (or a secretary) sent me any ...	Kira Adaricheva ki13ra@...	Nov 24, 2004 7:07 am
This fact goes back to Frobenius (and Weierstrass). The problem is to recall who and where mentioned it in print. This is more difficult than just proving the...	Boris M Schein bschein@...	Oct 8, 2004 3:33 pm
... You can also prove it using partial algebras. Starting from relative partial subsemigroups of N. The main construction is in a paper due to Mikenberg, I...	A. Mani a_mani_amc	Oct 8, 2004 9:31 pm
Obavam se Jirko, ze s nalezenim tohoto faktu budes mit problemy. Je to folklor, takze se da ocekavat v nejake zakladni ucebnici algebry. Ale moc bych neveril...	Vaclav Koubek koubek@...	Oct 11, 2004 9:02 am
Ahoj Venco, no to je legrace, zespolu komunikujeme takhle!!! Dostal jsem par odpovedi, jako ze uz to vedel Weierstrass..., ale kupodivu i konkretni clanek, kde...	Jiri Adamek adamek@...	Oct 12, 2004 9:18 am
Ahoj Venco a Jirko. To je fakt legrace :-)). P...	Pavel Jiranek payinek	Oct 12, 2004 10:21 am
... Sorry, my previous reaction was too vague (laziness, common laziness...) There was a reference to related results (provided by Melvin Henriksen). The Redei...	Boris M Schein bschein@...	Oct 12, 2004 10:16 pm
A comment to my previous comments. I asked a friend who was interested in the subsemigroups of free commutative monoids. He is far from home and cannot look up...	Boris M Schein bschein@...	Oct 13, 2004 3:28 pm

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