Right pure semisimple \(l\)-hereditary PI-rings (Q801147)
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scientific article; zbMATH DE number 3877374
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Right pure semisimple \(l\)-hereditary PI-rings |
scientific article; zbMATH DE number 3877374 |
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Right pure semisimple \(l\)-hereditary PI-rings (English)
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1984
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An Artinian ring is said to be \(l\)-hereditary if any local one-sided ideal of R is projective. It is shown that if R is an \(l\)-hereditary PI- ring which is a right pure semisimple ring then R is of finite representation type. The paper uses Bautista's diagrammatic characterization of \(l\)-hereditary Artinian algebras of finite representation type. A complete list of indecomposable modules is given for any non-homogeneous \(l\)-hereditary PI-ring of finite representation type.
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local one-sided ideal
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\(l\)-hereditary PI-ring
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right pure semisimple ring
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\(l\)-hereditary Artinian algebras of finite representation type
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indecomposable modules
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