On strongly almost \(m\)-\(\omega_1\)-\(p^{\omega+n}\)-projective abelian \(p\)-groups

• Date: 2016
• Main Author: Danchev, Peter
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: almost \(p^{\omega+n}\)-projective groups; almost \(\omega_1\)-\(p^{\omega+n}\)-projective groups; strongly almost \(\omega_1\)-\(p^{\omega+n}\)-projective groups; countable subgroups; nice subgroups; Ulm subgroups; Ulm factors; 20K10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/40
• Journal Title: Algebra and Discrete Mathematics

For any non-negative integers \(m\) and \(n\) we define the class of \textit{strongly almost \(m\)-\(\omega_1\)-\(p^{\omega+n}\)-projective groups} which properly encompasses the classes of \textit{strongly \(m\)-\(\omega_1\)-\(p^{\omega+n}\)-projective groups} and \textit{strongly almost \(\omega_1...