On a conjecture regarding nonstandard uniserial modules-Reference-Cited by-同舟云学术

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On a conjecture regarding nonstandard uniserial modules

Published:1993 Issue:1 Volume:340 Page:337-351
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Eklof Paul C.,Shelah Saharon

Abstract

We consider the question of which valuation domains (of cardinality ℵ 1 {\aleph _1} ) have nonstandard uniserial modules. We show that a criterion conjectured by Osofsky is independent of ZFC + GCH {\text {ZFC}} + {\text {GCH}} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1993-340-01/S0002-9947-1993-1159192-2/S0002-9947-1993-1159192-2.pdf

Reference14 articles.

1. The hierarchy of uniserial modules over a valuation domain;Bazzoni, Silvana;Forum Math.,1995

2. On nonstandard uniserial modules over valuation domains and their quotients;Bazzoni, Silvana;J. Algebra,1990

3. Elongations of uniserial modules over valuation domains;Bazzoni, Silvana;J. Algebra,1992

4. Equimorphism classes of uniserial modules over valuation domains;Bazzoni, Silvana;Arch. Math. (Basel),1992

5. Perspectives in Mathematical Logic;Devlin, Keith J.,1984

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