期刊论文详细信息
Miskolc Mathematical Notes | |
Essential radical supplemented modules | |
article | |
Celil Nebiyev1  | |
[1] Ondokuz Mayıs University | |
关键词: small submodules; essential submodules; radical; generalized (radical) supplemented modules; | |
DOI : 10.18514/MMN.2021.3215 | |
学科分类:数学(综合) | |
来源: Miskolci Egyetem | |
【 摘 要 】
In this work, (amply) essential radical supplemented modules are defined and some properties of these modules are investigated. Let M be an R-module and M = M1 + M2 +···+ Mn. If Mi is essential radical supplemented for every i = 1,2,...,n, then M is also essential radical supplemented. It is proved that every factor module and every homomorphic image of an essential radical supplemented module are essential radical supplemented. Let M be an essential radical supplemented R-module. Then every finitely M-generated R-module is essential radical supplemented.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202307020000525ZK.pdf | 988KB | download |