二聚代数的循环压缩总是存在的
Cyclic contractions of dimer algebras always exist
摘要：
证明了环面上的每个非退化二聚代数$A$都允许循环收缩为可消二聚代数。这意味着，例如，$A$是卡-丘当且仅当它是诺特的;并且$A$的中心具有克鲁尔维数$3$。
英文摘要：
We show that every nondegenerate dimer algebra $A$ on a torus admits a cyclic contraction to a cancellative dimer algebra. This implies, for example, that $A$ is Calabi-Yau if and only if it is noetherian; and that the center of $A$ has Krull dimension $3$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
