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MIT PRIMES/Art of Problem Solving

CROWDMATH 2023: Arithmetic of Power Monoids

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Are all numerical monoids finitely generated?
Number_Basher   1
N Nov 22, 2023 by Number_Basher
Are all numerical monoids finitely generated? My intuition agrees with the statement, but I cannot formulate a proof.
1 reply
Number_Basher
Nov 22, 2023
Number_Basher
Nov 22, 2023
Resource 0 Questions
DouDragon   2
N Oct 11, 2023 by PiGuy3141592
Hi, I'm just reading over the resources. I don't quite understand what a unit of $M$ is. Can someone explain?
2 replies
DouDragon
Sep 29, 2023
PiGuy3141592
Oct 11, 2023
Casework
CharmaineMa07292010   1
N Sep 13, 2023 by WilsonLiuwz
What I've tried so far:
I've tried to consider a few cases in the set N ( positive integers) and showed that it was true. I then moved on to show that this is true for k integers in each set.

<Describe what you have tried so far here. That way, we can do a better job helping you!>

Where I'm stuck:
I don't know how I can prove that the statement is true for any set S.

<Describe what's confusing you, or what your question is here!>
1 reply
CharmaineMa07292010
Aug 30, 2023
WilsonLiuwz
Sep 13, 2023
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