Semilocal modules and quasi-hereditary algebras (Q689753)
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scientific article; zbMATH DE number 446352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semilocal modules and quasi-hereditary algebras |
scientific article; zbMATH DE number 446352 |
Statements
Semilocal modules and quasi-hereditary algebras (English)
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15 November 1993
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Let \(A\) be a finite-dimensional algebra over an algebraically closed field \(k\) and \(N\) the Jacobson radical of \(A\). If \(M\) is a finitely generated semilocal \(A\)-module with Loewy length \(m\), then \(\text{End}_ A(\bigoplus^ m_{i=1}M/N^ iM)\) is a quasi-hereditary algebra.
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finite-dimensional algebra
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Jacobson radical
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finitely generated semilocal \(A\)-module
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Loewy length
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quasi-hereditary algebra
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