Abstract:On the basis of combinatorial techniques of dihedral modules with $\infty$-simplicial faces, dihedral homology is constructed for involutive $A_{\infty }$-algebras over arbitrary commutative unital rings.

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中文翻译：

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具有∞-单纯面和二面同调的二面模，用于环上的对合𝐴_{∞}-代数

摘要：基于$\infty$-单纯面二面体模的组合技术，构造了任意可交换单位环上对合$A_{\infty}$-代数的二面同调。

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