A result by Kulikov that does not extend to modules over general valuation domains
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- by L. Salce and P. Zanardo
- Proc. Amer. Math. Soc. 111 (1991), 643-649
- DOI: https://doi.org/10.1090/S0002-9939-1991-1043419-5
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Abstract:
Let $R$ be a valuation domain. It is proved that every nonzero $R$-module contains a nonzero pure uniserial submodule if and only if $R$ is rank-one discrete.References
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Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 643-649
- MSC: Primary 13C05; Secondary 13A18, 13C12, 20K10
- DOI: https://doi.org/10.1090/S0002-9939-1991-1043419-5
- MathSciNet review: 1043419