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JOURNALS // BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series // Archive

BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 2019, Volume 128, Issue 3, Pages 53–57 (Mi vemim43)

MATHEMATICS-COMPUTER SCIENCE

An example of a non-triangulable derivation of a differential polynomial algebra of rank 2

B. A. Duisengaliyeva, A. S. Naurazbekova

Eurasian National University named after L.N. Gumilyov, Nur-Sultan

Abstract: We constructed an example of a non-triangulable derivation of the differential polynomial algebra $k\{x,y\}$ in two variables $x,y$ with a set of commuting derivations $\Delta=\{ \delta_1, \ldots, \delta_m \}$ over a field $k$ of characteristic zero in the case of $m\geq 2$.

Keywords: Differential polynomial algebra, locally nilpotent derivation, triangulability, automorphism.

Received: 09.07.2019



© Steklov Math. Inst. of RAS, 2026