On jets, extensions and characteristic classes I
E-mail: h [email protected]
Received date: November 09, 2009; Revised date: July 19, 2010
In this paper, we give general denitions of non-commutative jets in the local and global situation using square zero extensions and derivations. We study the functors Exank(A; I), where A is any k-algebra, and I is any left and right A-module and use this to construct ane non-commutative jets. We also study the Kodaira-Spencer class KS(L) and relate it to the Atiyah class.