Cofinitely essential g-supplemented modules
Let M be an R-module. If every cofinite essential submodule of M has a g-supplement in M, then M is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supple-mented) module. In this work, some properties of these modules are investigated. It is proved that every factor module and...
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| Veröffentlicht in: | Mathematical notes (Miskolci Egyetem (Hungary)) 2022, Vol.23 (1), p.381-387 |
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| container_title | Mathematical notes (Miskolci Egyetem (Hungary)) |
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| creator | Nebiyev, Celil Ökten, Hasan Hüseyin |
| description | Let M be an R-module. If every cofinite essential submodule of M has a g-supplement in M, then M is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supple-mented) module. In this work, some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of a cofinitely eg-supplemented module are cofinitely eg-supplemented. Let M be a cofinitely eg-supplemented module. Then every M-generated R-module is cofinitely eg-supplemented. |
| doi_str_mv | 10.18514/MMN.2022.3655 |
| format | Article |
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| subjects | Codes Modules |
| title | Cofinitely essential g-supplemented modules |
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