CANONICAL AND -CANONICAL MODULES OF A NOETHERIAN ALGEBRA
CANONICAL AND -CANONICAL MODULES OF A NOETHERIAN ALGEBRA
We define canonical and $n$ -canonical modules of a module-finite algebra over a Noether commutative ring and study their basic properties. Using $n$ -canonical modules, we generalize a theorem on $(n,C)$ -syzygy by Araya and Iima which generalize a well-known theorem on syzygies by Evans and Griffith. Among others, we …