An application of a theorem of Ziegler (Q923696)
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scientific article; zbMATH DE number 4171153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An application of a theorem of Ziegler |
scientific article; zbMATH DE number 4171153 |
Statements
An application of a theorem of Ziegler (English)
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1990
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The aim of this note is to prove that an Artin algebra (resp. a finite- dimensional algebra over an algebraically closed field) all of whose algebraically compact (resp. \(\Sigma\)-algebraically compact) indecomposable modules are finitely generated must be of finite- representation type. The result is derived with the aid of a theorem of Ziegler.
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algebraically compact module
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ultraproduct
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elementary equivalence
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Artin algebra
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finite-dimensional algebra
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indecomposable modules
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finite- representation type
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