Artin rings of global dimension two (Q800460)
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scientific article; zbMATH DE number 3875478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Artin rings of global dimension two |
scientific article; zbMATH DE number 3875478 |
Statements
Artin rings of global dimension two (English)
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1985
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Let R be a basic left Artin ring of global dimension at most two and with n isomorphism classes of simple left R-modules. In the paper one shows in a combinatorial way that R has Loewy length at most \(2^ n-1\) and there are no loops in the ordinary quiver of R.
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basic left Artin ring
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global dimension
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simple left R-modules
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Loewy length
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