An example of a theory without weakly (\(\Sigma\) ,\(\Sigma\) )-atomic models (Q1064318)
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scientific article; zbMATH DE number 3920449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example of a theory without weakly (\(\Sigma\) ,\(\Sigma\) )-atomic models |
scientific article; zbMATH DE number 3920449 |
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An example of a theory without weakly (\(\Sigma\) ,\(\Sigma\) )-atomic models (English)
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1984
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The notion of the weakly \((\Gamma_ 1,\Gamma_ 2)\)-atomic models has been discussed in detail by \textit{J. T. Baldwin} and \textit{D. W. Kueker} [Ann. Math. Logic 20, 289-330 (1981; Zbl 0494.03024)]. In the present paper, an example of a complete inductive theory is given, having algebraically prime models, but no weakly (\(\Sigma\),\(\Sigma)\)-atomic models.
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complete inductive theory
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algebraically prime models
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0.7919247
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0.77078754
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0.7692156
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0.75369143
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