On <i>QTAG</i>-Modules Having All <i>N</i>-High Submodules <i>h</i>-Pure
The paper is concerned with <i>h</i>-pure-<i>N</i>-high submodules of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mi>T</mi><mi>A</mi&...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-09-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/19/3523 |
| Summary: | The paper is concerned with <i>h</i>-pure-<i>N</i>-high submodules of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mi>T</mi><mi>A</mi><mi>G</mi></mrow></semantics></math></inline-formula>-modules. Here, we characterize the submodules <i>N</i> of an <i>h</i>-reduced <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Q</mi><mi>T</mi><mi>A</mi><mi>G</mi></mrow></semantics></math></inline-formula>-module for which all <i>h</i>-pure-<i>N</i>-high submodules are bounded. We also discuss some interesting properties of subsocles and consequently give a characterization of the direct sum of uniserial modules. |
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| ISSN: | 2227-7390 |