Groups associated with modules over nearrings
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...
Saved in:
| Date: | 2018 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/840 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Summary: | 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 Frobenius group. |
|---|