Exterior powers and torsion free modules over discrete valuation rings
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- by David M. Arnold PDF
- Trans. Amer. Math. Soc. 170 (1972), 471-481 Request permission
Abstract:
Pure $R$-submodules of the $p$-adic completion of a discrete valuation ring $R$ with unique prime ideal $(p)$ (called purely indecomposable $R$-modules) have been studied in detail. This paper contains an investigation of a new class of torsion free $R$-modules of finite rank (called totally indecomposable $R$-modules) properly containing the class of purely indecomposable $R$-modules of finite rank. Exterior powers are used to construct examples of totally indecomposable modules.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 170 (1972), 471-481
- MSC: Primary 13C10
- DOI: https://doi.org/10.1090/S0002-9947-1972-0304367-1
- MathSciNet review: 0304367