Noncommutative resolutions using syzygies
classification
🧮 math.RT
math.AC
keywords
noncommutativegivenresolutionresolutionssyzygiesalgebraapplicationconstruction
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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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