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VAUGHT'S CONJECTURE FOR MODULES OVER A DEDEKIND PRIME RING

Published online by Cambridge University Press:  01 March 1999

VERA PUNINSKAYA
VERA PUNINSKAYA
Affiliation:
Moscow Institute-Internate, Losinoostrovskaya, 49, 107150, Moscow, Russia
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Abstract

It is proved that Vaught's conjecture is true for modules over an arbitrary countable Dedekind prime ring. It follows from the structural result that every module with few types over a countable Dedekind prime ring is ω-stable.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 2 , March 1999 , pp. 129 - 135
Copyright
© The London Mathematical Society 1999

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