$C2$ Property of Column Finite Matrix Rings

• Date: 2014
• Main Authors: Chen, Jianlong, Shen, Liang, Чен, Їанлонг, Шен, Ліанг
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2257
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A ring $R$ is called a right $C2$ ring if any right ideal of $R$ isomorphic to a direct summand of $R_R$ is also a direct summand. The ring $R$ is called a right $C3$ ring if any sum of two independent summands of $R$ is also a direct summand. It is well known that a right $C2$ ring must be a right...