On dual Rickart modules and weak dual Rickart modules

• Date: 2018
• Main Authors: Keskin Tütüncü, Derya, Orhan Ertas, Nil, Tribak, Rachid
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: dual Rickart modules; weak dual Rickart modules; weak Rickart rings; V-rings; Primary 16D10; Secondary 16D80
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/178
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be a ring. A right \(R\)-module \(M\) is called \(\mathrm{d}\)-Rickart if for every endomorphism \(\varphi\) of \(M\), \(\varphi(M)\) is a direct summand of \(M\) and it is called \(\mathrm{wd}\)-Rickart if for every nonzero endomorphism \(\varphi\) of \(M\), \(\varphi(M)\) contains a nonz...