Artin algebras with only preprojective or preinjective modules are of finite type (Q1345858)
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scientific article; zbMATH DE number 734516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Artin algebras with only preprojective or preinjective modules are of finite type |
scientific article; zbMATH DE number 734516 |
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Artin algebras with only preprojective or preinjective modules are of finite type (English)
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19 March 1995
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We give an affirmative answer to the following question raised by C. M. Ringel more than 14 years ago [in \textit{M. Auslander} and \textit{S. O. Smalø}, Lect. Notes Math. 832, 48-73 (1980; Zbl 0446.16026)]. If \(\Lambda\) is an Artin algebra of infinite representation type, do there exist indecomposable modules which are neither preprojective nor preinjective?
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Artin algebra
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infinite representation type
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indecomposable modules
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preprojective
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preinjective
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