Principally Goldie$\ast$ -lifting modules

• Date: 2018
• Main Authors: Guroglu, A. T., Meric, E. T., Гюрогли, А. Т., Мерис, Е. Т.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1604
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A module $M$ is called а principal Goldie$\ast$ -lifting if, for every proper cyclic submodule $X$ of $M$, there is a direct summand $D$ of $M$ such that $X\beta \ast D$. We focus our attention on principally Goldie $\ast$ -lifting modules as a generalization of lifting modules. Various properties...