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A Mergelyan-Vitushkin approximation theorem for rational modules

✍ Scribed by James Li-Ming Wang


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
354 KB
Volume
63
Category
Article
ISSN
0021-9045

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We prove a version of the Krull-Schmidt theorem which applies to Noetherian modules. As a corollary we get the following cancellation rule: then there are modules A ≀ A and B ≀ B such that A ∼ = B and len A = len A = len B = len B. Here the ordinal valued length, len A, of a module A is as defined