Tame and Wild Automorphisms of Differential Polynomial Algebras of Rank 2
Duisengaliyeva B.A. Naurazbekova A.S. Umirbaev U.U.
September 2021Springer
Journal of Mathematical Sciences (United States)
2021#257Issue 6814 - 824 pp.
It is proved that the tame automorphism group of a differential polynomial algebra k{x, y} over a field k of characteristic 0 in two variables x, y with m commuting derivations δ1,.. , δm is a free product with amalgamation. An example of a wild automorphism of the algebra k{x, y} in the case of m ≥ 2 derivations is constructed.
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L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Wayne State University, Detroit, 48202, MI, United States
L. N. Gumilyov Eurasian National University
Wayne State University
10 лет помогаем публиковать статьи Международный издатель
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