Multiplicative basis for algebras whose universal cover has no oriented cycles (Q792431)
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scientific article; zbMATH DE number 3853311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicative basis for algebras whose universal cover has no oriented cycles |
scientific article; zbMATH DE number 3853311 |
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Multiplicative basis for algebras whose universal cover has no oriented cycles (English)
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1984
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The authors prove that if a universal cover of a finite-dimensional algebra over an algebraically closed field of finite representation type has no oriented cycles, then the algebra has a multiplicative basis. For this class of algebras, it gives a proof of the validity of Gabriel's conjecture saying that for each dimension, there exists only a finite number of non-isomorphic algebras of finite representation type.
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universal cover
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multiplicative basis
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Gabriel's conjecture
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algebras of finite representation type
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