Derivations modulo elementary operators.

DOI10.1016/j.jalgebra.2011.05.009zbMath1245.16032OpenAlexW2050456612WikidataQ57787837 ScholiaQ57787837MaRDI QIDQ663598

Tsiu-Kwen Lee, Chen-Lian Chuang

Publication date: 25 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.05.009

zbMATH Keywords

idempotentsderivationsprime ringsfunctional identitiesbi-additive mapszero-product preserving maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Functional identities (associative rings and algebras) (16R60)

Related Items (17)

A result concerning b-generalized skew derivations on multilinear polynomials in prime rings ⋮ Zero product determined triangular algebras ⋮ Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations ⋮ An Engel condition withb-generalized derivations ⋮ Triple derivable maps on prime algebras with involution ⋮ Linear maps characterized by the action on square-zero elements ⋮ Tri-additive maps and local generalized \((\alpha,\beta)\)-derivations ⋮ On centralizers of Banach algebras ⋮ A characterization of algebras generated by idempotents ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ Unnamed Item ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX ⋮ Additive maps having a generalized derivation expansion ⋮ b-GENERALIZED DERIVATIONS OF SEMIPRIME RINGS HAVING NILPOTENT VALUES ⋮ An Engel condition with b-generalized derivations for Lie ideals ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)

Cites Work

• Unnamed Item
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• Zero product determined matrix algebras
• On invariant additive subgroups
• Maps on simple algebras preserving zero products. I: The associative case
• Disjointness preserving operators on \(C^*\)-algebras
• Biseparating maps between operator algebras.
• Maps characterized by action on zero products.
• Generalized skew derivations characterized by acting on zero products.
• Functional identities of degree two
• Prime rings satisfying a generalized polynomial identity
• On the distance of the composition of two derivations to the generalized derivations
• Maps preserving zero products
• Gpis Having Coefficients in Utumi Quotient Rings
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*
• Linear maps on von Neumann algebras preserving zero products on tr-rank
• Mappings preserving zero products
• Characterisations of derivations on some operator algebras
• Characterizing homomorphisms, derivations and multipliers in rings with idempotents

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