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Jun 25, 2022 at 7:33 comment added user49822 @QiaochuYuan the commutative monoid generated by three generators $a,b,c$ with the only relation $ab=ac$ is torsion-free and obviously non-cancellative
Jun 24, 2022 at 22:20 history became hot network question
Jun 24, 2022 at 18:40 comment added Qiaochu Yuan If a counterexample exists then a f.g. counterexample exists so we reduce to that case. Do you know a finitely generated torsion-free commutative monoid that isn't cancellative? If such a thing is cancellative it embeds into $\mathbb{Z}^n$ and we can just reduce to that case, right?
Jun 24, 2022 at 14:53 answer added Friedrich Knop timeline score: 7
Jun 24, 2022 at 14:25 history edited Moinsdeuxcat CC BY-SA 4.0
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S Jun 24, 2022 at 14:19 review First questions
Jun 24, 2022 at 14:27
S Jun 24, 2022 at 14:19 history asked Moinsdeuxcat CC BY-SA 4.0