Explicitly nonstandard uniserial modules
classification
🧮 math.LO
math.RA
keywords
modulesuniserialconstructionnon-standardaronszajncertaincomplementscondition
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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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