Essential radical supplemented modules

Miskolc Mathematical Notes

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