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Direct sum decompositions in Grothendieck categories

✍ Scribed by Bo Stenström


Book ID
112789026
Publisher
Springer Netherlands
Year
1968
Tongue
English
Weight
296 KB
Volume
7
Category
Article
ISSN
0004-2080

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Direct-Sum Decompositions over Local Rin
✍ Roger Wiegand 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 125 KB

Let R, m be a local ring commutative and Noetherian . If R is complete or, . more generally, Henselian , one has the Krull᎐Schmidt uniqueness theorem for direct sums of indecomposable finitely generated R-modules. By passing to the m-adic completion R, we can get a measure of how badly the Krull᎐Sch