When Finitely Generated δ-Supplemented Modules Are Supplemented

• 作者: Rachid Tribak
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 有限生成 R-模 模块
• 年，卷（期）: 2015,（1）
• 页码范围: 119-130
• 页数: 12页
• 分类号: O152
• 语种: 中文

摘要

We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-supplemented modules. It is showed that for a ring R, finitely generated δ-supplemented R-modules are supplemented if and only if finitely generated ⊙-δ-supplemented R-modules are ⊙-supplemented.