A survey of results on radicals and torsions in modules

• Datum: 2016
• 1. Verfasser: Kashu, A. I.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2016
• Schlagworte: ring; module; lattice; (pre\emph)radical; torsion; localization,; 16D90; 16S90
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/admtest
• Назва журналу: 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...