The Gabriel dimension of a module
β Scribed by Robert Gordon; J.C Robson
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 758 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let a region 0 of the euclidean space R d (d 1) be decomposed as a polyhedral complex g, and let S r (g) denote the set of all multivariate c r -splines on g. Then, with pointwise operations, the set S r (g) turns out to be a finitely generated torsion free module over the ring R=R[x 1 , ..., x d ]
We prove the following result, which is motivated by the recent work of Kurano and Roberts on Serre's positivity conjecture. Assume that R is a local ring with finitely generated module M such that R/Ann M is quasi-unmixed and contains a field, and that and are prime ideals in the support of M such