On the Adjoint Group of Semiprime Rings

DOI10.1080/00927870601042084zbMath1114.16016OpenAlexW1972489471MaRDI QIDQ3430282

Francesco Catino, Maria Maddalena Miccoli

Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601042084

zbMATH Keywords

Jacobson radicalsemiprime ringsprime ringscentersadjoint groupsradical ringssoluble-by-finite groups

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of solvable and nilpotent groups (20F19) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Engel conditions (20F45) Jacobson radical, quasimultiplication (16N20)

Related Items (3)

On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation ⋮ Torsion subgroups, solvability and the Engel condition in associative rings ⋮ A note on set-theoretic solutions of the Yang-Baxter equation

Cites Work

• Radical rings with soluble adjoint groups
• Subgroups of the Adjoint Group of a Radical Ring

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