Finitely generated pseudosimple algebras (Q1117959)
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scientific article; zbMATH DE number 4093531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finitely generated pseudosimple algebras |
scientific article; zbMATH DE number 4093531 |
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Finitely generated pseudosimple algebras (English)
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1989
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An algebra A is pseudosimple if it has more than one element and all of its homomorphic images with more than one element are isomorphic to A. It is proven that there exist finitely generated algebras which are pseudosimple but not simple and whose congruence lattice is isomorphic to \(\omega^ i+1\). The proof is constructive.
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simple algebra
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pseudosimple algebra
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