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The Yoneda Algebra of a Graded Ore Extension

Let A be a connected-graded algebra with trivial module 𝕜, and let B be a graded Ore extension of A. We relate the structure of the Yoneda algebra E(A): = Ext A (𝕜, 𝕜) to E(B). Cassidy and Shelton have shown that when A satisfies their 𝒦2 property, B will also be 𝒦2. We prove the converse of this result.