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Is the max-plus algebra an example of tropical mathematics or is it an independent structure? How can we turn a max-plus algebra into tropical geometry or viceversa-if possible?

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It would be helpful if we know how much tropical geometry you know. What would you consider "being turned into tropical geometry?" – Grumpy Parsnip Apr 29 '13 at 18:08
I have read the "classical" reviews in the arxiv for newbies. I think I understand now that min-plus/max-plus algebras are both tropical, but I wonder if they are "isomorphic" somehow... – riemannium May 1 '13 at 16:12

A max-plus algebra is a tropical algebra. See:

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