On Dual Baer Modules

Derya Keskin Tutuncu,Patrick F. Smith, Sultan Eylem Toksoy

RING THEORY AND ITS APPLICATIONS: RING THEORY SESSION IN HONOR OF T.Y. LAM ON HIS 70TH BIRTHDAY（2014）

引用 5|浏览0

暂无评分

摘要

In this note we prove that any ring R is right cosemihereditary if and only if every finitely cogenerated injective right R-module is d-Rickart. Let M be a module. We prove that if M is a dual Baer module with the (D-2) condition, then S = End(R)(M) is a right self-injective ring. We also prove that if M = M-1 circle plus M-2 with M-2 semisimple, then M is dual Baer if and only if M-1 is dual Baer and every simple non-direct summand of M-1 does not embed in M-2.

查看译文

关键词

Dual Baer module,d-Rickart module,relatively d-Rickart modules

AI 理解论文

溯源树

样例

生成溯源树，研究论文发展脉络

Chat Paper

正在生成论文摘要