Derived categories and syzygies
Representation Theory
2011-09-29 v1 Commutative Algebra
Category Theory
K-Theory and Homology
Rings and Algebras
Abstract
We introduce syzygies for derived categories and study their properties. Using these, we prove the derived invariance of the following classes of artin algebras: (1) syzygy-finite algebras, (2) Igusa-Todorov algebras, (3) AC algebras, (4) algebras satisfying the finitistic Auslander conjecture, and (5) algebras satisfying the generalized Auslander-Reiten conjecture. In particular, Gorenstein CM-finite algebras are derived invariants.
Cite
@article{arxiv.1109.6226,
title = {Derived categories and syzygies},
author = {Jiaqun Wei},
journal= {arXiv preprint arXiv:1109.6226},
year = {2011}
}
Comments
Comments are invited