Noncommutative resolutions using syzygies

Hailong Dao; Osamu Iyama; Srikanth B. Iyengar; Ryo Takahashi; Michael Wemyss; Yuji Yoshino

Noncommutative resolutions using syzygies

Hailong Dao, Osamu Iyama, Srikanth B. Iyengar, Ryo Takahashi, Michael Wemyss, Yuji Yoshino

School of Science

Research output: Contribution to journal › Article › peer-review

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
Journal	arXiv
Publication status	Published - Sept 15 2016

Keywords

math.RT
math.AC

Cite this

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title = "Noncommutative resolutions using syzygies",

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.",

keywords = "math.RT, math.AC",

author = "Hailong Dao and Osamu Iyama and Iyengar, {Srikanth B.} and Ryo Takahashi and Michael Wemyss and Yuji Yoshino",

note = "5 pages",

year = "2016",

month = sep,

day = "15",

language = "Undefined/Unknown",

journal = "arXiv",

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TY - JOUR

T1 - Noncommutative resolutions using syzygies

AU - Dao, Hailong

AU - Iyama, Osamu

AU - Iyengar, Srikanth B.

AU - Takahashi, Ryo

AU - Wemyss, Michael

AU - Yoshino, Yuji

N1 - 5 pages

PY - 2016/9/15

Y1 - 2016/9/15

N2 - 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.

AB - 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.

KW - math.RT

KW - math.AC

M3 - Article

JO - arXiv

JF - arXiv

ER -