Abstract

Let A=KΓ/(Xk), where KΓ is the path algebra of a cyclic quiver Γ over a field K,X is the sum of all arrows of Γ and k is a positive integer. In this paper, we describe the ring structure of the generalized Yoneda algebra ⊕i≥0ExtAi(A/Jl,A/Jl) of A with multiplication given by the Yoneda product, where J denotes the Jacobson radical of A and l is a positive integer with l≤k.

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