Noncommutative resolutions using syzygies
arXiv:1609.04842 · doi:10.1112/blms.12210
Abstract
Given a noether algebra with a noncommutative resolution, a general construction of new noncommutative resolutions is given. As an application, it is proved that any finite length module over a regular local or polynomial ring gives rise, via suitable syzygies, to a noncommutative resolution.
5 pages