Strong skew commutativity preserving maps on rings with involution.

DOI10.1007/s10114-016-4761-7zbMath1342.16034OpenAlexW2346614913MaRDI QIDQ296184

Quan Yuan Chen, Chang Jing Li

Publication date: 14 June 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-4761-7

zbMATH Keywords

von Neumann algebrasprime ringsrings with involutionstrong skew commutativity preserving maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Generalizations of commutativity (associative rings and algebras) (16U80) General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Functional identities (associative rings and algebras) (16R60)

Related Items (13)

Mixed *-Jordan-type derivations on *-algebras ⋮ Nonlinear \(\xi\)-Jordan triple \(\ast\)-derivation on prime \(\ast\)-algebras ⋮ Nonlinear mixed Jordan triple \(* \)-derivations on \(* \)-algebras ⋮ Reverse ∗-Jordan type maps on Jordan ∗-algebras ⋮ Nonlinear maps preserving bi-skew Jordan triple product on factor von Neumann algebras ⋮ Strong bi-skew commutativity preserving maps on von Neumann algebras ⋮ Nonlinear bi-skew Lie-type derivations on \(\ast\)-algebras ⋮ Strong 3-skew commutativity preserving maps on prime rings with involution ⋮ Nonlinear ∗-Jordan triple derivations on von Neumann algebras ⋮ Strong 2-skew commutativity preserving maps on prime rings with involution ⋮ Nonlinear \(*\)-Jordan-type derivations on \(*\)-algebras ⋮ Nonlinear maps preserving mixed product on factors ⋮ Nonlinear skew commuting maps on \(*\)-rings

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• Quadratic and Quasi-Quadratic Functionals
• Linear maps preserving elements annihilated by the polynomial XY-YX^†
• Non-linear ξ-Jordan *-derivations on von Neumann algebras

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