\(n\)-coherence relative to a hereditary torsion theory (Q827231)
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scientific article; zbMATH DE number 7290912
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(n\)-coherence relative to a hereditary torsion theory |
scientific article; zbMATH DE number 7290912 |
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\(n\)-coherence relative to a hereditary torsion theory (English)
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7 January 2021
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Summary: Let \(R\) be a ring, \(\tau=(\mathcal{T},\mathcal{F})\) a hereditary torsion theory of mod-\(R\), and \(n\) a positive integer. Then, \(R\) is called right \(\tau-n\)-coherent if every \(n\)-presented right \(R\)-module is \((\tau,n+1)\)-presented. We present some characterizations of right \(\tau-n\)-coherent rings, as corollaries, and some characterizations of right \(n\)-coherent rings and right \(\tau\)-coherent rings are obtained.
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