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