A generalization of semiperfect modules

• Date: 2017
• Main Authors: Türkmen, B. N., Тюркмен, Б. Н.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1679
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A module $M$ is called radical semiperfect, if $\frac MN$ has a projective cover whenever $\mathrm{R}\mathrm{a}\mathrm{d}(M) \subseteq N \subseteq M$. We study various properties of these modules. It is proved that every left $R$-module is radical semiperfect if and only if $R$ is left perfect. Mo...