Abstract
The purpose of this paper is to study the Hochschild cohomology ring H *(⋀)of algebras of the form ⋀ = kZe /JN , where Ze is an oriented cycle with e vertices and J is the ideal generated by the arrows, N≥2. We provide a new description of the Yoneda product in H *(⋀). and prove that this is a finitely generated infinite dimensional ring. In addition we show that algebras of the form ⋀ = kZe /JN are not derived equivalent unless they are isomorphic.
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