This paper is devoted to studying the Tate–Hochschild cohomology for periodic algebras. We will prove that the Tate–Hochschild cohomology ring of a periodic algebra can be written as the localization of the non-negative part of the Tate–Hochschild cohomology ring.

中文翻译：

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Tate-Hochschild周期代数的同调

本文致力于研究Tate-Hochschild周期代数的同调性。我们将证明周期代数的Tate-Hochschild同调环可以写为Tate-Hochschild同调环的非负部分的局部化。