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A Krull―Schmidt Theorem for Artinian Modules over Local Rings

✍ Scribed by K. I. Pimenov

Book ID
110395064
Publisher
Springer US
Year
2002
Tongue
English
Weight
193 KB
Volume
112
Category
Article
ISSN
1573-8795

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📜 SIMILAR VOLUMES

A Krull–Schmidt Theorem for Noetherian M
A Krull–Schmidt Theorem for Noetherian Modules
✍ 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