The behavior of the Hasse-Schmidt algebra under Γ©tale extension is used to show that the Hasse-Schmidt algebra of a smooth algebra of finite type over a field equals the ring of differential operators. These techniques show that the formation of Hasse-Schmidt derivations does not commute with locali
*-Independence and Special Tight Closure
β Scribed by Adela Vraciu
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 180 KB
- Volume
- 249
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
In this paper we investigate the relation between the multiplicity and the tight closure of a parameter ideals. We shall show that local rings having a parameter ideal whose multiplicity agrees with the colength of its tight closure are Cohen-Macaulay rings.
We construct two examples of nonexcellent local Noetherian domains which demonstrate that tight closure and completion do not commute. The first example is a local normal domain A with a height one principal prime ideal P such that ΛΕ½ . PA \* / P\*A. We also construct an example of a complete local
Jackson screwing detachable coils, developed for arterial and venous embolization, have been successfully employed recently for the percutaneous occlusion of patent ductus arteriosus (PDA). Special screwing detachable coils were designed for closure of the PDA, and the experience gained by their use