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A Uniform Property of Affine Domains

โœ Scribed by Hsin-Ju Wang

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
83 KB
Volume
215
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let R be an n-dimensional affine domain over a field k, where k is either perfect or char k s 0. Let J be the Jacobian ideal of R. In this paper, we prove s n q1 ลฝ . that there exists an integer s such that J Ext M, N s 0 for all finitely R generated R-modules M and N.

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## Abstract The category of Scottโ€domains gives a computability theory for possibly uncountable topological spaces, via representations. In particular, every separable Banachโ€space is representable over a separable domain. A large class of topological spaces, including all Banachโ€spaces, is represe