Kaplansky’s problem on valuation rings
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- by László Fuchs and Saharon Shelah PDF
- Proc. Amer. Math. Soc. 105 (1989), 25-30 Request permission
Abstract:
The following theorem is proved in ZFC: there exist valuation rings which are not surjective homomorphic images of valuation domains. The proof relies on the existence of nonstandard divisible uniserial modules in ZFC.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 25-30
- MSC: Primary 13L05; Secondary 03C60, 03E35, 13A18
- DOI: https://doi.org/10.1090/S0002-9939-1989-0929431-3
- MathSciNet review: 929431