On \(\phi \)-u-\(S\)-flat modules and nonnil-u-\(S\)-injective modules (Q6620605)
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scientific article; zbMATH DE number 7927962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\phi \)-u-\(S\)-flat modules and nonnil-u-\(S\)-injective modules |
scientific article; zbMATH DE number 7927962 |
Statements
On \(\phi \)-u-\(S\)-flat modules and nonnil-u-\(S\)-injective modules (English)
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17 October 2024
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The authors introduce and study the class of \(\phi-u-S\)-flat and nonnil-\(u-S\)-injective modules. They characterize the nonnil-\(u-S\)-injective rings (Cartan-Eilenberg-Bass theorem for nonnil-\(u-S\)-injective rings). They also give some new characterizations of \(\phi\)-von-Neumann regular rings.
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\(\phi \)-u-\(S\)-flat
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nonnil-injective
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nonnil-u-\(S\)-injective
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u-\(S\)-injective
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\(\phi \)-von Neumann regular ring
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