| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598279 | Journal of Pure and Applied Algebra | 2007 | 15 Pages |
Abstract
We introduce a notion of Gorenstein RR-algebras over a commutative Gorenstein ring RR. Then we provide a necessary and sufficient condition for a tilting complex over a Gorenstein RR-algebra AA to have a Gorenstein RR-algebra BB as the endomorphism algebra and a construction of such a tilting complex. Furthermore, we provide an example of a tilting complex over a Gorenstein RR-algebra AA whose endomorphism algebra is not a Gorenstein RR-algebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hiroki Abe, Mitsuo Hoshino,