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On projective modules

✍ Scribed by Budh Nashier

Publisher: Springer Vienna
Year: 1987
Tongue: English
Weight: 258 KB
Volume: 104
Category: Article
ISSN: 0026-9255
DOI: 10.1007/bf01326784

No coin nor oath required. For personal study only.

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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 ]