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Weak cylindric set algebras and weak subdirect indecomposability

Published online by Cambridge University Press:  12 March 2014

H. Andréka ,
I. Németi  and
R. J. Thompson
H. Andréka
Affiliation:
Mathematical Institute, Hungarian Academy of Sciences, 1364 Budapest, Hungary
I. Németi
Affiliation:
Mathematical Institute, Hungarian Academy of Sciences, 1364 Budapest, Hungary
R. J. Thompson
Affiliation:
Mathematical Institute, Hungarian Academy of Sciences, 1364 Budapest, Hungary
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Abstract

In this note we prove that the abstract property “weakly subdirectly indecomposable” does not characterize the class IWsα of weak cylindric set algebras. However, we give another (similar) abstract property characterizing IWsα. The original property does characterize the directed unions of members of IWsα iff α is countable. Free algebras will be shown to satisfy the original property.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 55 , Issue 2 , June 1990 , pp. 577 - 588
Copyright
Copyright © Association for Symbolic Logic 1990

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References

REFERENCES

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