Derivations and centralizing mappings in prime rings

DOI10.11650/twjm/1500405693zbMath0885.16021OpenAlexW1552739193MaRDI QIDQ1371053

Tsiu-Kwen Lee

Publication date: 20 April 1998

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405693

zbMATH Keywords

derivationsprime ringscommutatorsright idealsextended centroidscentralizing additive maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Ideals in associative algebras (16D25)

Related Items (16)

On centralizing additive maps on rank one triangular matrices over division rings ⋮ A quadratic generalized differential identity on Lie ideals of Prime Rings ⋮ Centralizing maps on invertible or singular matrices over division rings. ⋮ A quadratic differential identity with generalized derivations on multilinear polynomials in prime rings. ⋮ On the Behrens radical of matrix rings and polynomial rings. ⋮ Multilinear polynomials and cocentralizing conditions in prime rings. ⋮ \(k\)-commuting maps on triangular algebras ⋮ A quadratic differential identity with skew derivations ⋮ The structure of \(n\)-commuting additive maps on Lie ideals of prime rings ⋮ Lengths of central linear generalized polynomials in matrix algebras ⋮ Jordan derivations of prime rings with characteristic two. ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ Generalized derivations with skew-commutativity conditions on polynomials in prime rings ⋮ Weak Jordan derivations of prime rings ⋮ Commuting maps on certain incidence algebras ⋮ Power-commuting skew derivations on Lie ideals.

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