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Free submodules of indecomposable modules

✍ Scribed by C. M. Ringel


Publisher
Springer
Year
2004
Tongue
English
Weight
74 KB
Volume
83
Category
Article
ISSN
0003-889X

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Let R, m be a local Cohen᎐Macaulay ring with m-adic completion R. A Gorenstein R-module is a non-zero finitely generated R-module whose m-adic completion is isomorphic to a direct sum of copies of the canonical module . ## R The rank of the Gorenstein module G is the positive integer r such that