Characterizations of linear mappings through zero products or zero Jordan products

DOI10.13001/1081-3810.3090zbMath1342.16036OpenAlexW2962873786MaRDI QIDQ2813066

Jiankui Li, Guang Yu An

Publication date: 14 June 2016

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.3090

zbMATH Keywords

Lie derivationsgeneralized derivationsgeneralized Jordan derivationslinear mapsJordan left derivationsLie homomorphismszero Jordan product determined algebras

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items (7)

Linear mappings characterized by action on zero products or unit products ⋮ Characterizing linear mappings through zero products or zero Jordan products ⋮ Characterizations of \((m,n)\)-Jordan derivations and \((m,n)\)-Jordan derivable mappings on some algebras ⋮ Characterizations of Jordan mappings on some rings and algebras through zero products ⋮ Characterizations of centralizable mappings on algebras of locally measurable operators ⋮ Linear maps on block upper triangular matrix algebras behaving like Jordan derivations through commutative zero products ⋮ Functional identities of degree 2 vanishing on zero products of XY and Y X

Cites Work

• Unnamed Item
• Unnamed Item
• Isomorphisms and generalized derivations of some algebras
• Zero product determined matrix algebras
• Annihilator-preserving maps, multipliers, and derivations
• Local derivations and local automorphisms.
• Zero Jordan product determined algebras
• Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)
• On derivations and Jordan derivations through zero products
• Mappings on some reflexive algebras characterized by action on zero products or Jordan zero products
• Jordan left derivations and some left derivable maps
• Maps preserving zero products
• Strongly Reflexive Lattices
• Characterizing Jordan maps on C*-algebras through zero products
• Multiplication algebra and maps determined by zero products
• Zero product determined triangular algebras
• Characterizing homomorphisms, derivations and multipliers in rings with idempotents

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