### 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.

Original language | Undefined/Unknown |
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Journal | arXiv |

Publication status | Published - Sep 15 2016 |

### Keywords

- math.RT
- math.AC

## Cite this

Dao, H., Iyama, O., Iyengar, S. B., Takahashi, R., Wemyss, M., & Yoshino, Y. (2016). Noncommutative resolutions using syzygies.

*arXiv*.