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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2010
- DOI:
- 10.48550/arXiv.1002.2318
- arXiv:
- arXiv:1002.2318
- Bibcode:
- 2010arXiv1002.2318P
- Keywords:
-
- Mathematics - Rings and Algebras;
- 16E30 (Primary) 16S36;
- 16S37;
- 16W50 (Secondary)
- E-Print:
- 9 pages