Abstract
In this talk we discuss some applications of the vanishing of Tor over certain trivial extensions of DG algebras. In particular, we show that a local ring R of embedding codepth at the most 3 has at most two semidualizing complexes up to shift-isomorphism, namely, R itself and a dualizing R -complex if one exists.
| Original language | American English |
|---|---|
| State | Published - Apr 12 2014 |
| Event | Special Session on Homological Methods in Algebra, Spring Central Section Meeting of the American Mathematical Society, Texas Tech University - Duration: Apr 12 2014 → … |
Conference
| Conference | Special Session on Homological Methods in Algebra, Spring Central Section Meeting of the American Mathematical Society, Texas Tech University |
|---|---|
| Period | 04/12/14 → … |
Keywords
- DG algebras
- Local rings
- Semidualizing complexes
- Shift-isomorphism
- Trivial extensions
- Vanishing of Tor
DC Disciplines
- Mathematics