Abstract
Let be a separable algebra over a commutative ring and a monic polynomial over the center of . We deal with the -algebra , where is the path algebra of the cyclic quiver with vertices and arrows, and is the sum of all arrows. We show that has a periodic projective bimodule resolution of period 2. Moreover, by using the resolution, we describe the structure of the Hochschild cohomology ring of by means of the Yoneda product.
Acknowledgments
The author would like to thank the referee and the editor for many valuable comments and suggestions to improve the paper. Also the author would like to express his gratitude to Professor Katsunori Sanada for many discussions and comments.
Citation
Manabu Suda. "A periodic projective bimodule resolution of an algebra associated with a cyclic quiver and a separable algebra, and the Hochschild cohomology ring." SUT J. Math. 43 (2) 173 - 200, June 2007. https://doi.org/10.55937/sut/1252509532
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