On a conjecture regarding nonstandard uniserial modules

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We consider the question of which valuation domains (of cardinality aleph_1) have non-standard uniserial modules. We show that a criterion conjectured by Osofsky is independent of ZFC + GCH.

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Logic, Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/152859

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9308211
 http://arxiv.org/abs/math/9308211
 Trans. Amer. Math. Soc. 340 (1993), 337--351

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arXiv