On a conjecture regarding nonstandard uniserial modules

Eklof, Paul C.; Shelah, Saharon

doi:10.1090/S0002-9947-1993-1159192-2

On a conjecture regarding nonstandard uniserial modules
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by Paul C. Eklof and Saharon Shelah PDF

Trans. Amer. Math. Soc. 340 (1993), 337-351 Request permission

Abstract:

We consider the question of which valuation domains (of cardinality ${\aleph _1}$) have nonstandard uniserial modules. We show that a criterion conjectured by Osofsky is independent of ${\text {ZFC}} + {\text {GCH}}$.

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