Preradicals and characteristic submodules: connections and operations

• Date: 2018
• Main Author: Kashu, A. I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: preradical; lattice; characteristic submodule; product (coproduct) of preradicals; 16D90; 16S90; 06B23
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/631
• Journal Title: Algebra and Discrete Mathematics

For an arbitrary module \(M\in R\)-Mod the relation between the lattice \(\mathbf{L}^{ch}(_{R}M)\)  of characteristic (fully invariant) submodules of \(M\) and big lattice \(R\)-pr of preradicals of \(R\)-Mod is studied. Some isomorphic images of \(\mathbf{L}^{ch}(_{R}M)\)  in \(R\)-pr are construct...