A transfer theorem for nonstandard uniserials

Author:
Paul C. Eklof

Journal:
Proc. Amer. Math. Soc. **114** (1992), 593-600

MSC:
Primary 13L05; Secondary 03C60, 03E35, 03E75, 13C05

DOI:
https://doi.org/10.1090/S0002-9939-1992-1074751-8

MathSciNet review:
1074751

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Abstract | References | Similar Articles | Additional Information

Abstract: A general theorem is described and proved which allows the transfer of results about the existence of nonstandard uniserial modules over a valuation domain from models of to all models of ZFC.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1992-1074751-8

Keywords:
Valuation domain,
uniserial,
nonstandard uniserial,
many-sorted language,
transfer theorem

Article copyright:
© Copyright 1992
American Mathematical Society