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


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Authors

  • B.A. Duisengaliyeva L. N. Gumilyov Eurasian National University
  • A.S. Naurazbekova L. N. Gumilyov Eurasian National University

Keywords:

Differential polynomial algebra, locally nilpotent derivation, triangulability, automorphism

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 ∆ = {δ1, . . . , δm} over a field k of characteristic zero in the
case of m ≥ 2 .

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Published

2019-09-30

How to Cite

Б.А. Дуйсенгалиева, & А.С. Науразбекова. (2019). An example of a non-triangulable derivation of a differential polynomial algebra of rank 2. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 128(3), 53–57. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/50

Issue

Vol. 128 No. 3 (2019)

Section

Статьи