Groups associated with modules over nearrings

• Date: 2018
• Main Authors: Artemovych, O. D., Kravets, I. V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/840
• Journal Title: Algebra and Discrete Mathematics

We construct  a group \(D(I,T)\) associated with the pair \((I,T)\), where \(I\) is a nontrivial distributive submodule of a left \(N\)-module \(G\), \(T\) is a nontrivial subgroup of the unit group \(U(N)\) of a right nearring \(N\) with an identity element, and find criteria for \(D(I,T)\) to be a...