Let R and S be two commutative rings with unity, let J be an ideal of S and f : R → S be a ring homomorphism. Our goal is to determine when the amalgamated algebra R⋈^fJ is Cohen-Macaulay (in the sense of Hamilton and Marley).

中文翻译：

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合并代数的Cohen-Macaulayness

令R和S为两个具有统一性的交换环，令J为S和f的理想：R → S为环同构。我们的目标是确定当被混合的代数- [R ⋈ ^˚F Ĵ是科恩-麦考利（在Hamilton和马利的意义上）。