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Oct 13, 2019 at 3:13 comment added John Machacek No problem! I am glad you found the information useful. There is a lot you can do with just the "default" ground ring (or even just trivial coeffients) in cluster algebras. But in some contexts I think it's interesting to pay attention to the ground ring.
Oct 8, 2019 at 8:04 vote accept amator2357
Oct 8, 2019 at 8:02 comment added amator2357 My apologies for a late reply and thank you for such a great answer! I must say that the I feel like I have never paid enough attention to a (choice of) coefficient ring and I also feel like I should really try to understand its role better. Your answer will definitely be a great reference for that! Thanks again!
Oct 4, 2019 at 17:54 history answered John Machacek CC BY-SA 4.0