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in these pages (http://en.wikipedia.org/wiki/Grothendieck_group" [Broken]) I found the description of a particular construction that makes a Group from a cancellative-abelian-monoid.

The group embeds the original monoid, and it is called Grothendieck's group.

I can't find more sources about this topic and I would like to know if the group constructed with this method hasminimalcardinality.

Thanks in advance.

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# Question about monoid (Grothendieck's) group-completion

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