Locally Nilpotent Derivations of Free Algebra of Rank Two

In commutative algebra, if δ is a locally nilpotent derivation of the polynomial algebra 𝛫[x₁, …, xd] over a field 𝛫 of characteristic 0 and w is a nonzero element of the kernel of δ, then Δ=wδ is also a locally nilpotent derivation with the same kernel as δ. In this paper, we prove that the locally...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2019
Main Authors: Drensky, V., Makar-Limanov, L.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210297
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Locally Nilpotent Derivations of Free Algebra of Rank Two / V. Drensky, L. Makar-Limanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 31 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine