Journal Article Canonical and n-canonical modules of a Noetherian algebra

Hashimoto, Mitsuyasu

226pp.165 - 203 , 2017-06 , Cambridge University Press
We define canonical and -canonical modules of a module-finite algebra over a Noether commutative ring and study their basic properties. Using -canonical modules, we generalize a theorem on -syzygy by Araya and Iima which generalize a well-known theorem on syzygies by Evans and Griffith. Among others, we prove a noncommutative version of Aoyama’s theorem which states that a canonical module descends with respect to a flat local homomorphism.

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