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Vaught's conjecture for modules over a serial ring

Published online by Cambridge University Press:  12 March 2014

Vera Puninskaya*
Affiliation:
Chair of Algebra, Moscow State University, 119899, Moscow, Russia, E-mail: punins@orc.ru

Abstract

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

Information

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2000

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