Abstract
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.
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Acknowledgements
The author would like to thank the referee for a careful reading of the paper and for helpful suggestions. The author also would like to thank Professor Katsunori Sanada for valuable advice. The author is grateful to Professor Tomohiro Itagaki and Professor Ayako Itaba for constructive comments.
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Usui, S. Tate–Hochschild cohomology for periodic algebras. Arch. Math. 116, 647–657 (2021). https://doi.org/10.1007/s00013-021-01576-2
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DOI: https://doi.org/10.1007/s00013-021-01576-2