Local nilpotence versus local finiteness

Key Points

• 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.