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The category of groupoids as a categorification of the ring of rational numbers. See this MO questionthis MO question and this n-category cafe post.

The category of groupoids as a categorification of the ring of rational numbers. See this MO question and this n-category cafe post.

The category of groupoids as a categorification of the ring of rational numbers. See this MO question and this n-category cafe post.

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Steven Gubkin
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The category of groupoids as a categorification of the ring of rational numbers. See this MO question and this n-category cafe post.