Radical rings with soluble adjoint groups

DOI10.1006/jabr.2001.8996zbMath1010.16018OpenAlexW2031493129MaRDI QIDQ1348685

Yaroslav P. Sysak, Bernhard Amberg

Publication date: 30 June 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8996

zbMATH Keywords

soluble groupsEngel groupsadjoint groupsradical ringslocally nilpotent ringsEngel ringsLie commutatorsLie-soluble rings

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Commutator calculus (20F12) Engel conditions (20F45) Jacobson radical, quasimultiplication (16N20)

Related Items (10)

Associative rings with metabelian adjoint group. ⋮ On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation ⋮ Torsion subgroups, solvability and the Engel condition in associative rings ⋮ On two-sided skew braces ⋮ Identities and derived lengths of finitary incidence algebras and their group of units ⋮ Solvability of Poisson algebras ⋮ Group identities on the units of algebraic algebras with applications to restricted enveloping algebras. ⋮ Generating Adjoint Groups ⋮ On the Adjoint Group of Semiprime Rings ⋮ RINGS SATISFYING GENERALIZED ENGEL CONDITIONS

Cites Work

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• Lie centrally metabelian group rings
• Radical rings with Engel conditions
• Subgroups of the Adjoint Group of a Radical Ring
• The Centers of a Radical Ring
• Complex analysis and convolution operators
• Lie Solvable Rings

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