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...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/840 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-840 |
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admjournalluguniveduua-article-8402018-03-21T11:59:09Z Groups associated with modules over nearrings Artemovych, O. D. Kravets, I. V. 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. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/840 Algebra and Discrete Mathematics; Vol 6, No 2 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/840/371 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2018-03-21T11:59:09Z |
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English |
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Artemovych, O. D. Kravets, I. V. Groups associated with modules over nearrings |
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Article |
| author |
Artemovych, O. D. Kravets, I. V. |
| author_facet |
Artemovych, O. D. Kravets, I. V. |
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Artemovych, O. D. |
| title |
Groups associated with modules over nearrings |
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Groups associated with modules over nearrings |
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Groups associated with modules over nearrings |
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Groups associated with modules over nearrings |
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Groups associated with modules over nearrings |
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groups associated with modules over nearrings |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
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2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/840 |
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AT artemovychod groupsassociatedwithmodulesovernearrings AT kravetsiv groupsassociatedwithmodulesovernearrings |
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2025-12-02T15:37:16Z |
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