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This article is cited in 3 scientific papers (total in 3 papers)
Mathematical logic, algebra and number theory
Duisengaliyeva, B.A., Umirbaev, U.U.,
A wild automorphism of a free Novikov algebra
B. A. Duisengaliyevaa, U. U. Umirbaevbc a L.N. Gumilyov Eurasian National University,
Satpayev street, 2,
010000, Astana, Kazakhstan
b Institute of mathematics and mathematical modeling,
Pushkin street, 125,
050000, Almaty, Kazakhstan
c Wayne State University,
656 W. Kirby,
Detroit, MI 48202, USA
Abstract:
An example of a non-triangulable locally nilpotent derivation and an example of a wild exponential automorphism of the free Novikov algebra $N\left\langle x,y,z\right\rangle$ in three variables $x,y,z$ over a field of characteristic zero are constructed.
Keywords:
differential polynomial algebra, free Novikov algebra, derivation, automorphism.
Received September 21, 2018, published December 18, 2018
Citation:
B. A. Duisengaliyeva, U. U. Umirbaev, “Duisengaliyeva, B.A., Umirbaev, U.U.,
A wild automorphism of a free Novikov algebra”, Sib. Èlektron. Mat. Izv., 15 (2018), 1671–1679
Linking options:
https://www.mathnet.ru/eng/semr1027 https://www.mathnet.ru/eng/semr/v15/p1671
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