Extension Groups for DG Modules
Commutative Algebra
2016-04-05 v1
Abstract
Let and be differential graded (DG) modules over a positively graded commutative DG algebra . We show that the Ext-groups defined in terms of semi-projective resolutions are not in general isomorphic to the Yoneda Ext-groups given in terms of equivalence classes of extensions. On the other hand, we show that these groups are isomorphic when the first DG module is semi-projective.
Keywords
Cite
@article{arxiv.1604.00516,
title = {Extension Groups for DG Modules},
author = {Saeed Nasseh and Sean Sather-Wagstaff},
journal= {arXiv preprint arXiv:1604.00516},
year = {2016}
}
Comments
11 pages, separated from arXiv:1201.0037