What question did this study set out to answer?

This research aims to explore the relationship between local nilpotency and local finiteness in homogeneous varieties.

May 11, 2026

Local nilpotence versus local finiteness

Puntos clave

This research aims to explore the relationship between local nilpotency and local finiteness in homogeneous varieties.
Proven properties of local nilpotency and local finiteness in the context of homogeneous varieties.
Utilized the radical property concept from Amitsur-Kurosh to establish a relationship between both properties.
Demonstrated that one property is radical if and only if the other property is also radical.

Resumen

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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Cite This Study

Ivan Shestakov (Fri,) studied this question.

synapsesocial.com/papers/6a01726d3a9f334c2827293f https://doi.org/https://doi.org/10.1142/s0218196726400151

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