Ideally finite Leibniz algebras
The aim of this paper is to consider Leibniz algebras, whose principal ideals are finite dimensional. We prove that the derived ideal of \(L\) has finite dimension if every principal ideal of a Leibniz algebra \(L\) has dimension at most \(b\), where \(b\) is a fixed positive integer.
Збережено в:
| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2023 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2139 |
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Організація
Algebra and Discrete Mathematics| Резюме: | The aim of this paper is to consider Leibniz algebras, whose principal ideals are finite dimensional. We prove that the derived ideal of \(L\) has finite dimension if every principal ideal of a Leibniz algebra \(L\) has dimension at most \(b\), where \(b\) is a fixed positive integer. |
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