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Noncommutative resolutions using syzygies.

Authors :
Dao, Hailong
Iyama, Osamu
Iyengar, Srikanth B.
Takahashi, Ryo
Wemyss, Michael
Yoshino, Yuji
Source :
Bulletin of the London Mathematical Society; Feb2019, Vol. 51 Issue 1, p43-48, 6p
Publication Year :
2019

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
NONCOMMUTATIVE algebras
SYZYGIES (Mathematics)
NOETHER'S theorem
POLYNOMIAL rings
MATHEMATICAL proofs

Details

Language :
English
ISSN :
00246093
Volume :
51
Issue :
1
Database :
Complementary Index
Journal :
Bulletin of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
134429803
Full Text :
https://doi.org/10.1112/blms.12210
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