The Yoneda algebra of a graded Ore extension
Abstract
Let A be a connectedgraded 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 eprints
 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)
 EPrint:
 9 pages