Direct decompositions of artinian modules related to formations of groups

• Date: 2018
• Main Authors: Kurdachenko, Leonid A., Otal, Javier
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: decompositions; artinian modules; formation of groups; 20C07; 20D10; 20F24
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/953
• Journal Title: Algebra and Discrete Mathematics

We survey direct decompositions of artinian modules over group rings into two summands where all the chief factors of the first are \(\mathfrak{X}\)–central and all the chief factors of the other is \(\mathfrak{X}\)–eccentric, where \(\mathfrak{X}\) is a certain formation of finite groups.