A wild automorphism of a free Novikov algebra

Bibinur Duisengalieva; Ualbai Umirbaev

A wild automorphism of a free Novikov algebra

Rings and Algebras 2020-01-03 v1

Authors: Bibinur Duisengalieva , Ualbai Umirbaev

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

novikov algebra wild automorphism locally nilpotent derivation exponential automorphism free algebra

Cite

@article{arxiv.2001.00317,
  title  = {A wild automorphism of a free Novikov algebra},
  author = {Bibinur Duisengalieva and Ualbai Umirbaev},
  journal= {arXiv preprint arXiv:2001.00317},
  year   = {2020}
}

Comments

9 pages, in Russian

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