On \(m\)-injective modules over Noetherian rings (Q2755012)
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scientific article; zbMATH DE number 1668892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(m\)-injective modules over Noetherian rings |
scientific article; zbMATH DE number 1668892 |
Statements
5 November 2001
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\(m\)-injective modules
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injective envelopes
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maximal ideals
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On \(m\)-injective modules over Noetherian rings (English)
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The author shows in this paper: if \(R\) is a commutative integral domain and an \(m\)-injective envelope \(E_m(R)\) of \(R\) is a proper submodule of an injective envelope \(E(R)\) of \(R\), then there are infinitely many distinct \(m\)-injective extensions of \(E_m\) contained in \(E(R)\).
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