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Some model theory of abelian groups

Published online by Cambridge University Press:  12 March 2014

Paul C. Eklof
Paul C. Eklof*
Affiliation:
Stanford University, Stanford, California 94305
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Abstract

We study the relations between abelian groups B and C that every universal (resp. universal-existential) sentence true in B is also true in C, and give algebraic criteria for these relations to hold. As a consequence we characterize the inductive complete theories of abelian groups and prove that they are exactly the model-complete theories.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 37 , Issue 2 , June 1972 , pp. 335 - 342
Copyright
Copyright © Association for Symbolic Logic 1972

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References

REFERENCES

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