Preradicals and characteristic submodules: connections and operations

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...

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Bibliographic Details
Date:2018
Main Author: Kashu, A. I.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/631
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics