On equivalence of some subcategories of modules in Morita contexts

• Date: 2018
• Main Author: Kashu, A. I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: torsion (torsion theory); Morita context; torsion free module; accessible module; equivalence; 16S90; 16D90
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/963
• Journal Title: Algebra and Discrete Mathematics

A Morita context \((R,\,_{R}\!V_{S},\,_{S}\!W_{R},S)\) defines the isomorphism \({\cal L}_{0}(R) \cong {\cal L}_{0}(S)\) of lattices of torsions \(r\geq r_{\scriptscriptstyle I}\) of \(R\)-\(Mod\) and torsions \(s\geq r_{\scriptscriptstyle J}\) of \(S\)-\(Mod\), where \(I\) and \(J\) are the trace i...