Injectivity and graded injectivity (Q1434314)
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scientific article; zbMATH DE number 2078278
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Injectivity and graded injectivity |
scientific article; zbMATH DE number 2078278 |
Statements
Injectivity and graded injectivity (English)
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7 July 2004
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The injectivity and graded injectivity of modules is studied. Injective testing sets of semiprime noetherian rings and FBN rings are particularily investigated. It is proved that gr-injectivity implies injectivity for commutative artinian graded rings graded by the integers, and also it is proved that the gr-global dimension and global dimension are the same.
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injective module
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graded ring
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graded injective module
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graded Jacobson radical
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