Generalized Cohen-Macaulay modules over rings with approximation property |
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Authors: | Mihai Cipu |
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Affiliation: | (1) Present address: Institute of Mathematics, Str. Accademiei 14, 70109 Bucharest, Romania |
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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. |
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