Commuting maps on lie ideals

DOI10.1080/00927879508825551zbMath0842.16020OpenAlexW2043525241MaRDI QIDQ4863806

Matej Brešar, C. Robert Miers

Publication date: 23 July 1996

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

Full work available at URL: http://hdl.handle.net/1828/2046

zbMATH Keywords

additive mapextended centroidprime ringgeneralized polynomial identityLie idealcommuting map

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Generalizations of commutativity (associative rings and algebras) (16U80) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (19)

Skew-symmetric biderivations and linear commuting maps on the conformal Galilei algebra ⋮ Biderivations of the twisted Heisenberg–Virasoro algebra and their applications ⋮ Decompositions of Quotient Rings andm-Power Commuting Maps ⋮ On centralizing additive maps on rank one triangular matrices over division rings ⋮ Additiven-commuting maps on semiprime rings ⋮ On Lie and associative algebras containing inner derivations ⋮ Centralizing maps on invertible or singular matrices over division rings. ⋮ Commuting and centralizing generalized derivations on Lie ideals in prime rings. ⋮ A basic functional identity with applications to Jordanσ-biderivations ⋮ Biderivations of the planar Galilean conformal algebra and their applications ⋮ Biderivations of finite-dimensional complex simple Lie algebras ⋮ The structure of \(n\)-commuting additive maps on Lie ideals of prime rings ⋮ Biderivations and linear commuting maps on simple generalized Witt algebras over a field ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ Commutators with finite spectrum. II ⋮ Nonlinear anti-commuting maps of strictly triangular matrix Lie algebras ⋮ Commuting Derivations and Automorphisms of Certain Nilpotent Lie Algebras Over Commutative Rings ⋮ On functional identities andd-free subsets of rings, I ⋮ On functional identities andd-free subsets of rings. II

Cites Work

• Centralizing mappings and derivations in prime rings
• Prime rings satisfying a generalized polynomial identity
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