Semilocal rings whose adjoint group is locally supersoluble.

DOI10.1007/s00013-010-0158-5zbMath1219.16019OpenAlexW2047593596MaRDI QIDQ707538

Francesco Catino, Maria Maddalena Miccoli, Yaroslav P. Sysak

Publication date: 8 October 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0158-5

zbMATH Keywords

Jacobson radicaladjoint groupssemilocal ringsLie-supersoluble ringslocally supersoluble groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Noncommutative local and semilocal rings, perfect rings (16L30) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Artinian rings with supersolvable adjoint group.
• Semilocal rings with \(n\)-Engel multiplicative group.
• Group rings of polycyclic groups
• Associative rings with metabelian adjoint group.
• Subrings of finite index in finitely generated rings
• On Associative Rings with Locally Nilpotent Adjoint Semigroup
• Subsemigroups of nilpotent groups
• Sums of Distinct Divisors and Sums of Distinct Units
• Finiteness Conditions for Soluble Groups
• Associative rings whose adjoint semigroup is locally nilpotent

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