Lie ideals with regular and nilpotent elements and a result on derivations

DOI10.1007/BF02844414zbMath0538.16032OpenAlexW2060428254MaRDI QIDQ793137

Jeffrey Bergen

Publication date: 1984

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844414

zbMATH Keywords

orderdivision ringLie idealsregularderivationsemi-prime ringsnilpotentinvertiblevaluesprimitive ringnil left idealindices of nilpotenceJacobson density theorem

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (5)

Extended Jacobson Density Theorem for Rings With Skew Derivations ⋮ Differential and difference algebra ⋮ On \(n\)-th commutators with nilpotent or regular values in rings ⋮ Multilinear polynomials with invertible values ⋮ Generalized Derivations with Invertible or Nilpotent Values on Multilinear Polynomials

Cites Work

• On the centralizers of ideals and nil derivations
• Derivations with nilpotent values
• General polynomial identities. II
• On the Lie structure of an associative ring
• Invertible and regular elements in rings with involution
• Derivations with Invertible Values
• Rings with Involution in which Every Trace is Nilpotent or Regular
• JORDAN ALGEBRAS OF CAPACITY TWO
• Rings with Involution Whose Symmetric Elements are Regular
• Some results on the center of a ring with polynomial identity

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