A note on quasi-Cohen-Macaulay rings
✍ Scribed by Amit Roy
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 160 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We investigate the transfer of the Cohen᎐Macaulay property from a commutative ring to a subring of invariants under the action of a finite group. Our point of view is ring theoretic and not a priori tailored to a particular type of group action. As an illustration, we discuss the special case of mul
If V is a faithful module for a finite group G over a field of characteristic p, then the ring of invariants need not be Cohen᎐Macaulay if p divides the order of G. In this article the cohomology of G is used to study the question of Cohen᎐Macaulayness of the invariant ring. One of the results is a