𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A theory of length for Noetherian modules

✍ Scribed by Tor H. Gulliksen

Book ID
107815236
Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
1013 KB
Volume
3
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Krull–Schmidt Theorem for Noetherian M
A Krull–Schmidt Theorem for Noetherian Modules
✍ Gary Brookfield πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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