On inverse operations in the lattices of submodules

• Date: 2018
• Main Author: Kashu, A. I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: ring; module; preradical; lattice; product of submodules; left (right) quotient; 16D90; 16S90; 06B23
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/704
• Journal Title: Algebra and Discrete Mathematics

In the lattice \(\mathbf{L}(_{R}M)\) of submodules of an arbitrary left \(R\)-module \(_R M\) four operation were introduced and investigated in the paper [3]. In the present work the approximations of inverse operations for two of these operations (for \(\alpha\)-product and \(\omega\)-coproduct) ...