A Generalization of Lifting Modules

• Date: 2014
• Main Authors: Kalati, Amouzegar T., Калаті, Амузегар Т.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2239
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce the notion of $I$ -lifting modules as a proper generalization of the notion of lifting modules and present some properties of this class of modules. It is shown that if $M$ is an $I$ -lifting direct projective module, then $S/▽$ is regular and $▽ = \text{Jac} S$, where $S$ is the ring o...