Direct sums of countably generated modules over complete discrete valuation rings
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- by Chang Mo Bang PDF
- Proc. Amer. Math. Soc. 28 (1971), 381-388 Request permission
Abstract:
Throughout this paper, $R$ will denote an arbitrary but fixed complete discrete valuation ring. We shall show that two reduced $R$-modules which are direct sums of countably generated $R$-modules are isomorphic if and only if they have the same Ulm invariants and the same basis type. This is a generalization of the celebrated Ulm and Kolettis theorem.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 381-388
- MSC: Primary 20.30; Secondary 13.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276326-3
- MathSciNet review: 0276326