Extending properties of \(z\)-closed projection invariant submodules

• Date: 2025
• Main Authors: Yücel, Canan Celep, Ayvazoğlu, Yeşim
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: \(zp\)-submodule; \(z\)-closed submodule; \(PI\)-extending module; \(G\)-extending module; \(CS\)-module; 16D50; 16D70
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2323
• Journal Title: Algebra and Discrete Mathematics

In this article, we define a module \(M\) to be \(ZPG\) if and only if for each \(zp\)-submodule \(X\) of \(M\) there exists a direct summand \(D\) such that \(X\cap D\) is essential in both \(X\) and \(D\). We investigate structural properties of \(ZPG\) modules and locate the implications between...