Examples of semiperfect rings (Q1123244)
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scientific article; zbMATH DE number 4108938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Examples of semiperfect rings |
scientific article; zbMATH DE number 4108938 |
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Examples of semiperfect rings (English)
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1989
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Two examples are given to answer two questions in the theory of semiperfect rings. First, an example of a local (but not noetherian) \(\pi\)-regular ring, over which the ring of \(2\times 2\) matrices is not \(\pi\)-regular. The second example shows that there is a cyclic indecomposable left module over a right artinian ring such that its endomorphism ring is not local.
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semiperfect rings
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\(\pi \) -regular ring
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cyclic indecomposable left module
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right artinian ring
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endomorphism ring
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