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Decompositions of rings

✍ Scribed by I. V. Protasov


Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
86 KB
Volume
57
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


Direct-Sum Decompositions over Local Rin
✍ Roger Wiegand πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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