A survey of results on radicals and torsions in modules

• Date: 2016
• Main Author: Kashu, A. I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: ring; module; lattice; (pre\emph)radical; torsion; localization,; 16D90; 16S90
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/admtest
• Journal Title: Algebra and Discrete Mathematics

In this work basic results of the author on radicals in module categories are presented in a short form. Principal topics are: types of preradicals and their characterizations; classes of \(R\)-modules and sets of left ideals of \( R\); notions and constructions associated to radicals; rings of quot...