The $E_2$-term of the Adams spectral sequence for $\mathbf{Y}$ may be described in terms of its cohomology $E^\ast \mathbf{Y}$, together with the action of the primary operations $E^\ast \mathbf{E}$ on it, for ring spectra such as $\mathbf{E} = \mathbf{H}\mathbb{F}_p$. We show how the higher terms of the spectral sequence can be similarly described in terms of the higher order truncated $\mathbf{E}$-mapping algebra for $\mathbf{Y}$ $\; - \;$ that is truncations of the function spectra $\operatorname{Fun}(\mathbf{Y}, \mathbf{M})$ for various $\mathbf{E}$-modules $\mathbf{M}$, equipped with the action of $\operatorname{Fun}(\mathbf{M}, \mathbf{M}')$ on them.

中文翻译：

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映射代数和 Adams 谱序列

$\mathbf{Y}$ 的 Adams 谱序列的 $E_2$ 项可以用其上同调 $E^\ast \mathbf{Y}$ 以及主要运算 $E^ 的作用来描述\ast \mathbf{E}$ 在它上面，对于环形光谱，例如 $\mathbf{E} = \mathbf{H}\mathbb{F}_p$。我们展示了如何用高阶截断的 $\mathbf{E}$-mapping 代数 $\mathbf{Y}$ $\; 来类似地描述频谱序列的更高项。- \;$ 是函数谱 $\operatorname{Fun}(\mathbf{Y}, \mathbf{M})$ 的截断，用于各种 $\mathbf{E}$-modules $\mathbf{M}$，配备 $\operatorname{Fun}(\mathbf{M}, \mathbf{M}')$ 对它们的作用。