Decomposition of matrices from \(\text{SL}_{2}(\mathbb{K}[x, y])\)
Let \(\mathbb{K}\) be an algebraically closed field of characteristic zero and \(\mathbb{K}[x, y]\) the polynomial ring. The group \(\text{SL}_{2}(\mathbb{K}[x, y])\) of all matrices with determinant equal to \(1\) over \(\mathbb{K}[x, y]\) can not be generated by elementary matrices. The known coun...
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| Date: | 2025 |
|---|---|
| Main Authors: | Chapovskyi, Yevhenii, Kozachok, Oleksandra, Petravchuk, Anatoliy |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2025
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2362 |
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| Journal Title: | Algebra and Discrete Mathematics |
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