Direct Summands of ⊕-Supplemented Modules

• 来源期刊: 代数集刊（英文版）
• 关键词: ⊕-supplemented module supplement submodule left preradical
• 年，卷（期）: 2007,（4）
• 页码范围: 625-630
• 页数: 6页
• 语种: 英文

摘要

A module M is called ⊕-supplemented if every submodule of M has a supplement that is a direct summand of M. It is shown that if M is a ⊕-supplemented module and r(M) is a coclosed submodule of M for a left preradical r, then r(M) is a direct summand of M, and both r(M) and M/r(M) are ⊕-supplemented.