Some Variations of δ-Supplemented Modules with Regard to a Hereditary Torsion Theory
In present work, we describe and investigate torsion theoretic versions of δ-supplemented modules via a hereditary torsion theory τ. With this aim, first, we define δτ-small submodules. On this basis, the concepts of δτ-lifting modules, δτ-supplemented modules, and amply δτ-supplemented modules and...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/9968793 |
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| Summary: | In present work, we describe and investigate torsion theoretic versions of δ-supplemented modules via a hereditary torsion theory τ. With this aim, first, we define δτ-small submodules. On this basis, the concepts of δτ-lifting modules, δτ-supplemented modules, and amply δτ-supplemented modules and their fundamental properties are given, respectively. Furthermore, we present δτ-semiperfect modules and give a characterization for them via (amply) δτ-supplemented modules. Even we supply binary relations between these new module classes. |
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| ISSN: | 2314-4785 |