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 - Funding Information:
Acknowledgements. This paper was written during the AIM SQuaRE on Cohen–Macaulay representations and categorical characterizations of singularities. We thank AIM for funding, and for their kind hospitality.
Funding Information:
Dao was further supported by NSA H98230-16-1-0012, Iyama by JSPS Grant-in-Aid for Scientific Research 16H03923, Iyengar by NSF grant DMS 1503044, Takahashi by JSPS Grant-in-Aid for Scientific Research 16K05098, Wemyss by EPSRC grant EP/K021400/1, and Yoshino by JSPS Grant-in-Aid for Scientific Research 26287008.
Publisher Copyright:
© 2018 The Author(s). The Bulletin of the London Mathematical Society is copyright © London Mathematical Society
PY - 2019/2/1
Y1 - 2019/2/1
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.
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U2 - 10.1112/blms.12210
DO - 10.1112/blms.12210
M3 - Article
AN - SCOPUS:85055674358
SN - 0024-6093
VL - 51
SP - 43
EP - 48
JO - Bulletin of the London Mathematical Society
JF - Bulletin of the London Mathematical Society
IS - 1
ER -