Noncommutative (crepant) Desingularizations and the Global Spectrum of Commutative Rings
نویسندگان
چکیده
In this paper we study endomorphism rings of finite global dimension over not necessarily normal commutative rings. These objects have recently attracted attention as noncommutative (crepant) resolutions (NC(C)Rs) of singularities. Our results yield various necessary and sufficient conditions for their existence. We also introduce and study the global spectrum of a ring R, that is, the set of all possible finite global dimension of endomorphism rings of MCM R-modules.
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