## Abstract The main theorem in this paper is a farβreaching generalization of Gleason's theorem on the weight enumerators of codes which applies to arbitraryβgenus weight enumerators of selfβdual codes defined over a large class of finite rings and modules. The proof of the theorem uses a categori
Localization and invariant theory
β Scribed by Frank Grosshans
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 525 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0001-8708
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β¦ Synopsis
Localization
and Invariant Theory*
FRANK GROSSHANS
Let R be an integral domain. Even though R itself may not be Noetherian, there may be nonzero elements a in R such that R[l/a] is Noetherian. Rings in which such elements exist will be the object of study in this paper. The motivation for this work comes from invariant theory and, in particular, the following result, proved in Section 3.
'PHEOKEAI.
π SIMILAR VOLUMES
From this array of conditions two main points should be made. Firstly the problem for odd invariants is essentially solved. Secondly the condition that |u| [ 2n -2 for an invariant to fail to be quasi-Weyl is very restrictive 208 A. ROD GOVER