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Questions related to cluster algebras, a class of commutative rings introduced around 2000 by Fomin and Zelevinsky, and nearby topics.

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Trying to understand the proof of Laurent phenomenon of cluster algebras

You need to use the fact that $x'_j = M x_q + M'$, where $M$ and $M'$ are Laurent monomials in the remaining variables. Their observation is that if $x'_j$ factored, it would be as $x'_j = (P_1 x_q + …
Michael Joyce's user avatar