Article
Extension Groups for DG Modules
Communications in Algebra
Document Type
Article
Publication Date
12-16-2016
DOI
10.1080/00927872.2016.1270292
Disciplines
- Education and
- Mathematics
Abstract
Let M and N be differential graded (DG) modules over a positively graded commutative DG algebra A. We show that the Ext-groups ExtiA(M,N) defined in terms of semi-projective resolutions are not in general isomorphic to the Yoneda Ext-groups YExtiA(M,N) 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.
Citation Information
Saeed Nasseh and Sean Sather-Wagstaff. "Extension Groups for DG Modules" Communications in Algebra Vol. 45 Iss. 10 (2016) p. 4466 - 4476 Available at: http://works.bepress.com/saeed_nasseh/32/
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