Global dimension in serial rings (Q1061818)
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scientific article; zbMATH DE number 3910571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global dimension in serial rings |
scientific article; zbMATH DE number 3910571 |
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Global dimension in serial rings (English)
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1985
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Let R be an indecomposable basic serial Artin ring with n isomorphism classes of indecomposable projective modules. If the global dimension of R is finite then the author shows that the Loewy length of R is \(\leq 2n- 1\) and the global dimension of R is \(\leq 2n-2\). He also gives examples to show that these bounds are sharp.
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indecomposable basic serial Artin ring
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indecomposable projective modules
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global dimension
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Loewy length
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