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Generalized Cohen-Macaulay modules over rings with approximation property
Authors:Mihai Cipu
Affiliation:(1) Present address: Institute of Mathematics, Str. Accademiei 14, 70109 Bucharest, Romania
Abstract:Let (A, m) be an excellent Henselian ring with isolated singularity and letR be its completion. Then every indecomposable maximal Buchsbaum (resp. generalized Cohen-Macaulay)R-module is isomorphic with the completion of an indecomposable maximal Buchsbaum (resp. generalized Cohen-Macaulay)A-module. Hence one gets examples of non-complete, non-regular rings having finite Buchsbaum representation type.
Keywords:
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