Symmetric modules over their endomorphism rings

• Date: 2015
• Main Authors: Ungor, Burcu, Kurtulmaz, Yosum, Halicioglu, Sait, Harmanci, Abdullah
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2015
• Subjects: symmetric modules; reduced modules; rigid modules; semicommutative modules; abelian modules; Rickart modules; principally projective modules; 13C99; 16D80
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/71
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be an arbitrary ring with identity and \(M\) a right\(R\)-module with \(S=End_R(M)\). In this paper, we study right\(R\)-modules \(M\) having the property for \(f,g \in End_R(M)\) andfor \(m\in M\), the condition \(fgm = 0\) implies \(gfm = 0\). We provethat some results of symmetric rings...