PS-lifting modules

• Date: 2026
• Main Author: Kaynar, Engin
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9247
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.55 Let $R$ be a ring and let  $M$ be a left $R$-module. We say that $M$ is {\it ps-lifting} if every submodule $N$ of $M$  contains a direct summand $X$ of $M$ such that $\dfrac{N}{X}$ is projective semisimple. We present some properties of these modules. It is shown that: (1) if a projectiv...