\((m,n)\)-algebraically compactness and \((m,n)\)-pure injectivity. (Q462960)
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scientific article; zbMATH DE number 6359997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \((m,n)\)-algebraically compactness and \((m,n)\)-pure injectivity. |
scientific article; zbMATH DE number 6359997 |
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\((m,n)\)-algebraically compactness and \((m,n)\)-pure injectivity. (English)
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22 October 2014
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The authors introduce and study a generalization of algebraic compactness for modules, called \((m,n)\)-algebraically compactness, for some positive integers \(m\) and \(n\). Among other results, they show that a module is \((m,n)\)-algebraically compact if and only if it is \((m,n)\)-pure-injective.
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algebraically compact modules
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\((m,n)\)-pure exact sequences
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\((m,n)\)-pure injective modules
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\((m,n)\)-algebraically compact modules
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0.8620169
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0.86068195
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