期刊论文详细信息
Miskolc Mathematical Notes | |
Cofinitely essential g-supplemented modules | |
article | |
Celil Nebiyev1  Hasan Hüseyin Ökten2  | |
[1] Ondokuz Mayıs University, Department of Mathematics;Amasya University, Technical Sciences Vocational School | |
关键词: cofinite submodules; essential submodules; g-small submodules; g-supplemented modules; | |
DOI : 10.18514/MMN.2022.3655 | |
学科分类:数学(综合) | |
来源: Miskolci Egyetem | |
【 摘 要 】
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-supplemented) 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.
【 授权许可】
CC BY
【 预 览 】
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RO202307020000599ZK.pdf | 1005KB | download |