The Yoneda algebra of a graded Ore extension
Rings and Algebras
2012-08-22 v1
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.
Cite
@article{arxiv.1002.2318,
title = {The Yoneda algebra of a graded Ore extension},
author = {Christopher Phan},
journal= {arXiv preprint arXiv:1002.2318},
year = {2012}
}
Comments
9 pages