Epimorphisms are not surjective, even in simple algebras (Q2903748)
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scientific article; zbMATH DE number 6062905
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Epimorphisms are not surjective, even in simple algebras |
scientific article; zbMATH DE number 6062905 |
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Epimorphisms are not surjective, even in simple algebras (English)
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1 August 2012
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algebraic logic
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amalgamation
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cylindric algebras
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epimorphism
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Beth definability
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J. Madarász proved that epimorphisms are not surjective in the class of semisimple cylindric algebras. The present author strenghtens this result: epimorphisms are not surjective in the class of infinite-dimensional simple cylindric algebras. This result implies that the Beth definability property fails for certain infinite logics.
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