On the Hochschild (co)homology of a monomial algebra given by a cyclic quiver and two zero-relations |
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| Authors: | Tomohiro Itagaki |
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| Affiliation: | 1. Department of Mathematics, Tokyo University of Science, Shinjuku, Tokyo, Japantitagaki@rs.tus.ac.jp |
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| Abstract: | Let K be an algebraically closed field and Γ a cyclic quiver. Xu and Wang investigated the Hochschild (co)homology groups of KΓ∕I, where I is an ideal of KΓ generated by one path. In this paper, in the case that I is an ideal of KΓ generated by two paths, we give the module structure of the Hochschild (co)homology groups of KΓ∕I. |
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| Keywords: | Cyclic quivers Hochschild (co)homology monomial algebras |
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