Explicitly nonstandard uniserial modules

by Eklof and Shelah. [EkSh:461]
Annals Pure and Applied Algebra, 1993
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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