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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 340 (1993), 337-351
  • MSC: Primary 13C13; Secondary 03E35, 03E75, 13A18, 13L05
  • DOI: https://doi.org/10.1090/S0002-9947-1993-1159192-2
  • MathSciNet review: 1159192