BURNSIDE AND KUROSH PROBLEMS

DOI10.1142/S0218196704001694zbMath1087.16013MaRDI QIDQ5692235

Lakhdar Hammoudi

Publication date: 27 September 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

Lie algebrasnilpotent algebrasBurnside problemassociative algebrasKurosh problemnil-radicalinfinite periodic groupsfinitely generated algebraic algebrasresidually finite nonnilpotent nil algebras

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Structure theory for nonassociative algebras (17A60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (2)

Groups having many 2-generated subgroups in a given class ⋮ A note on torsion-by-nilpotent groups.

Cites Work

• Unnamed Item
• On the Burnside problem for periodic groups
• On Burnside's problem on periodic groups
• Ideals of finite codimension in free algebras and the \(fc\)-localization
• Polynomial rings over nil rings need not be nil
• Structure theory for algebraic algebras of bounded degree
• Radicals Of Polynomial Rings
• INFINITE PERIODIC GROUPS. I

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