The Yoneda algebra of a graded Ore extension

Details The Yoneda algebra of a graded Ore extension The Yoneda algebra of a graded Ore extension

2010-02-11

arxiv.org/abs/1002.2318v1

Mathematics

Rings and Algebras

9 pages

Scientific paper

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.

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