Let R be an integral domain, I an ideal of R and R(I ) the Kaplansky transform of R with respect to I . A ring homomorphism : R β A is called an We denote by KR(I; A) the set of all the I -morphisms from R to A. It is easy to see that KR(I; -) deΓΏnes a covariant functor from Ring to Set. We prove t
On Superheight Conditions for the Affineness of Open Subsets
β Scribed by Holger Brenner
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 154 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
In this paper we consider the open complement U of a hypersurface Y = V a in an affine scheme X. We study the relations between the affineness of U, the intersection of Y with closed subschemes, the property that every closed surface in U is affine, the property that every analytic closed surface is Stein, and the superheight of a defining ideal a.
π SIMILAR VOLUMES
## Abstract We study the asymptotic behaviour of the solution __u__~__n__~ of a linear elliptic equation posed in a fixed domain Ξ©. The solution __u__~__n__~ is assumed to satisfy a Dirichlet boundary condition on Ξ~__n__~, where Ξ~__n__~ is an arbitrary sequence of subsets of βΞ©, and a Neumman bou