Weakly stable rings and related comparability. (Q708460)
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scientific article; zbMATH DE number 5799918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly stable rings and related comparability. |
scientific article; zbMATH DE number 5799918 |
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Weakly stable rings and related comparability. (English)
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14 October 2010
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Let \(M\) be a right \(R\)-module having the finite exchange property, and let \(M=\bigoplus_{i\in\Lambda}M_i\). Suppose that each \(M_i\) is fully invariant, equal to a direct sum of isomorphic indecomposable submodules. It is shown that \(\text{End}(M_R)\) satisfies related comparability. For the definition of related comparability, see [\textit{H. Chen}, Commun. Algebra 27, No. 9, 4209-4216 (1999; Zbl 0952.16010)].
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finite exchange property
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weakly stable rings
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related comparability
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direct sums of indecomposable modules
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endomorphism rings
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directly finite rings
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stable range one
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