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A Krull-Schmidt Theorem for Infinite Sums of Modules

✍ Scribed by R. B. Warfield, Jr.


Book ID
115523004
Publisher
American Mathematical Society
Year
1969
Tongue
English
Weight
176 KB
Volume
22
Category
Article
ISSN
0002-9939

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📜 SIMILAR VOLUMES


A Krull–Schmidt Theorem for Noetherian M
✍ Gary Brookfield 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 102 KB

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