Local nilpotence versus local finiteness

In this paper, we prove that in a homogeneous variety [Formula: see text] one of the properties of local nilpotency and of local finiteness is radical in the sense of Amitsur-Kurosh if and only of so is the second property.

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Publication Details

Journal
International Journal of Algebra and Computation
Published
2026-05-08
DOI
https://doi.org/10.1142/s0218196726400151
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

Local nilpotence versus local finiteness

Ivan Shestakov
International Journal of Algebra and Computation
Algebraic Geometry and Number Theory
article

Local nilpotence versus local finiteness

Ivan Shestakov
article en

Abstract

In this paper, we prove that in a homogeneous variety [Formula: see text] one of the properties of local nilpotency and of local finiteness is radical in the sense of Amitsur-Kurosh if and only of so is the second property.

International Journal of Algebra and Computation
Universidade de São Paulo (BR), Southern University of Science and Technology (CN)
Reduced inequalities
Openalex Percentile: Top 3%
Algebraic Geometry and Number Theory
DOISourceOpenAlex
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Local nilpotence versus local finiteness — Ivan Shestakov · International Journal of Algebra and Computation (2026) | TGRS Research Map | TGRS