|
ИСТИНА |
Войти в систему Регистрация |
ФНКЦ РР |
||
Gradings allowing wild automorphismsстатья
- Автор: Trushin Anton
- Журнал: Journal of Algebra and its Applications
- Том: 21
- Номер: 08
- Год издания: 2021
- Издательство: World Scientific
- Местоположение издательства: United States
- DOI: 10.1142/s0219498822501602
- Аннотация: In 2004, Shestakov and Umirbaev proved that the Nagata automorphism of the polynomial algebra in three variables is wild. We fix a Z-grading on this algebra and consider graded-wild automorphisms, i.e. such automorphisms that cannot be decomposed onto elementary automorphisms respecting the grading. We describe all gradings allowing graded-wild automorphisms.
- Добавил в систему: Трушин Антон Николаевич