The Yoneda algebra of a graded Ore extension

Abstract

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 K_2 property, B will also be K_2. We prove the converse of this result.

arXiv comment9 pages

References in corpus (2)

• Generalized Koszul properties for augmented algebras
• The Yoneda algebra of a K_2 algebra need not be another K_2 algebra

Cited by in corpus (1)

• Universal enveloping algebras of Poisson Ore extensions