An investigation of the Baer-Kaplansky property (Q6566486)
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scientific article; zbMATH DE number 7875528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An investigation of the Baer-Kaplansky property |
scientific article; zbMATH DE number 7875528 |
Statements
An investigation of the Baer-Kaplansky property (English)
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3 July 2024
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From the abstract:\N``In this paper, we construct a local artinian ring \(R\) with Jacobson radical \(W\) such that \(W^2=0\), \(Q=R/W\) is commutative, \(\dim(_Q W)=1\) and \(\dim (W_Q)=2\). Then we show that, for this ring \(R\), the category of all right \(R\)-modules Mod-\(R\) is not a Baer-Kaplansky class by proving that the class of all indecomposable right \(R\)-modules (all finitely generated right \(R\)-modules) is not Baer-Kaplansky.''
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Baer-Kaplansky class
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local ring
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Artin ring
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perfect ring
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