B. A. Duisengaliyeva, U. U. Umirbaev, “Duisengaliyeva, B.A., Umirbaev, U.U., A wild automorphism of a free Novikov algebra”, Sib. Èlektron. Mat. Izv., 2018, Volume 15,Pages <nobr>1671

This article is cited 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. Duisengaliyeva^a, U. U. Umirbaev^bc

^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.

UDC: 512.5

MSC: 17A36

Received September 21, 2018, published December 18, 2018

DOI: 10.33048/semi.2018.15.138