On a conjecture regarding nonstandard uniserial modules

Paul C. Eklof; Saharon Shelah

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

On a conjecture regarding nonstandard uniserial modules

Paul C. Eklof
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	337-351
Number of pages	15
Journal	Transactions of the American Mathematical Society
Volume	340
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1993-1159192-2
State	Published - 1 Nov 1993

Keywords

Axiom(S)
Gamma invariant
Nonstandard uniserial
Sieved polynomialsValuation domain
Uniserial

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10.1090/S0002-9947-1993-1159192-2

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KW - Sieved polynomialsValuation domain

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On a conjecture regarding nonstandard uniserial modules

Abstract

Keywords

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