Adjoint functors, preradicals and closure operators in module categories

• Date: 2020
• Main Author: Kashu, Alexei I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: closure operator; adjoint functors; preradical; category of modules; natural transformation; lattice of submodules; 16D90; 16S90; 18A40; 18E40; 06A15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1322
• Journal Title: Algebra and Discrete Mathematics

In this article preradicals and closure operators are studied in an adjoint situation, defined by two covariant functors between the module categories \(R\)-Mod and \(S\)-Mod. The mappings which determine the relationship between the classes of preradicals and the classes of closure operators of the...