Canonical and n-canonical modules of a Noetherian algebra

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.

This is an Accepted Manuscript of an article published by Cambridge University Press

This fulltext availavle in Dec 2017