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arXiv math/9301207math.LOmath.RA
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Explicitly nonstandard uniserial modules

Paul C. Eklof, Saharon Shelah

英文摘要:

A new construction is given of non-standard uniserial modules over certain valuation domains; the construction resembles that of a special Aronszajn tree in set theory. A consequence is the proof of a sufficient condition for the existence of non-standard uniserial modules; this is a theorem of ZFC which complements an earlier independence result.

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