On Cohen-Macaulay rings
✍ Scribed by R.C Cowsik; M.V Nori
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 154 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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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
## dedicated to professor klaus w. roggenkamp on the occasion of his 60th birthday We introduce a concept of Cohen-Macaulayness for left noetherian semilocal rings (and their modules) which generalizes the corresponding notion of commutative algebra and naturally applies to orders.
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