Talk:Aperiodic monoid

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Reference for the cited 'well-known' theorem, please.

Charles Matthews 21:18, 17 June 2006 (UTC)

If I'm not mistaken, a Grothendieck group can only be formed for a commutative monoid. Shouldn't the Grothendieck group of an aperiodic commutative monoid be trivial? Of course, that also makes it cyclic, but the result seems rather irrelevant to me. Yours, Huon 09:39, 19 June 2006 (UTC)
Let me add that I have read (and fully understood) the paper previously cited as a reference for the supposedly "well-known" theorem. There is simply nothing in there about Grothendieck groups. Pascal.Tesson 02:51, 6 July 2006 (UTC)
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