Indecomposable modules over Nagata valuation domains
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- by D. Arnold and M. Dugas PDF
- Proc. Amer. Math. Soc. 122 (1994), 689-696 Request permission
Abstract:
For a discrete valuation ring R, let ${\text {fr}}(R)$ be the supremum of the ranks of indecomposable finite rank torsion-free R-modules. Then ${\text {fr}}(R) = 1,2,3$, or $\infty$. A complete list of indecomposables is given if ${\text {fr}}(R) \leq 3$, in which case R is known to be a Nagata valuation domain.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 689-696
- MSC: Primary 13F30; Secondary 13C05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1239795-3
- MathSciNet review: 1239795