Groups associated with modules over nearrings

• Datum: 2018
• Hauptverfasser: Artemovych, O. D., Kravets, I. V.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/840
• Назва журналу: 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...