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Gradings allowing wild automorphisms
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2021-05-07 , DOI: 10.1142/s0219498822501602 Anton Trushin 1, 2
中文翻译:
允许野生自同构的分级
更新日期:2021-05-07
Journal of Algebra and Its Applications ( IF 0.8 ) Pub Date : 2021-05-07 , DOI: 10.1142/s0219498822501602 Anton Trushin 1, 2
Affiliation
In 2004, Shestakov and Umirbaev proved that the Nagata automorphism of the polynomial algebra in three variables is wild. We fix a -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.
中文翻译:
允许野生自同构的分级
2004 年,Shestakov 和 Umirbaev 证明了三变量多项式代数的 Nagata 自同构是狂野的。我们修复一个-在这个代数上分级并考虑分级的野生自同构,即不能分解为关于分级的基本自同构的这种自同构。我们描述了所有允许分级野生自同构的分级。