ESSENTIAL RADICAL SUPPLEMENTED MODULES

被引：0
|
作者：
Nebiyev, Celil [1 ]
机构：
[1] Ondokuz Mayis Univ, TR-55270 Atakum, Samsun, Turkey
来源：
MISKOLC MATHEMATICAL NOTES | 2021年 / 22卷 / 01期
关键词：
small submodules; essential submodules; radical; generalized (radical) supplemented modules;
D O I：
10.18514/MMN.2021.3215
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 = M-1 + M-2 + ... + M-n. If M-i 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.
引用
收藏
页码：427 / 434
页数：8
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