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So, there is the Eilenberg-Moore spectral sequence, and there is (for any monad $(T,\mu,\eta)$ on a category $C$) the Eilenberg-Moore Category $C^T$ of $T$-algebras.

The silly question, is the very-general latter thing at all helpful in thinking about the fairly specific former thing? Or do they just happen to be attributed to the same two people?

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    $\begingroup$ I'm fairly sure they just happen to be invented by the same people... $\endgroup$ – Zhen Lin May 22 '12 at 18:28

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