Generalized derivations associated with Hochschild 2-cocycles on some algebras

Jiankui Li; Jiren Zhou

The search session has expired. Please query the service again.

Displaying similar documents to “Generalized derivations associated with Hochschild 2-cocycles on some algebras”

Mappings on some reflexive algebras characterized by action on zero products or Jordan zero products

Yunhe Chen, Jiankui Li (2011)

Studia Mathematica

Similarity:

Let 𝓛 be a subspace lattice on a Banach space X and let δ: Alg𝓛 → B(X) be a linear mapping. If ⋁ {L ∈ 𝓛 : L₋ ⊉ L}= X or ⋁ {L₋ : L ∈ 𝓛, L₋ ⊉ L} = (0), we show that the following three conditions are equivalent: (1) δ(AB) = δ(A)B + Aδ(B) whenever AB = 0; (2) δ(AB + BA) = δ(A)B + Aδ(B) + δ(B)A + Bδ(A) whenever AB + BA = 0; (3) δ is a generalized derivation and δ(I) ∈ (Alg𝓛)'. If ⋁ {L ∈ 𝓛 : L₋ ⊉ L} = X or ⋁ {L₋ : L ∈ 𝓛, L₋ ⊉ L} = (0) and δ satisfies δ(AB + BA) = δ(A)B + Aδ(B) + δ(B)A...

Generalized derivations and bilocal Jordan derivations of nest algebras.

Yan, Dangui, Zhang, Chengchang (2011)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra.

Driss, Aiat Hadj Ahmed, Ben Yakoub, L'Moufadal (2005)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On the structure of Jordan *-derivations

Matej Brešar, Borut Zalar (1992)

Colloquium Mathematicae

Similarity:

On generalized Jordan derivations of Lie triple systems

Abbas Najati (2010)

Czechoslovak Mathematical Journal

Similarity:

Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple $θ$ -derivation on a Lie triple system is a $θ$ -derivation.

Jordan superderivations. II.

Fošner, Maja (2004)

International Journal of Mathematics and Mathematical Sciences

Similarity:

The Jordan structure of CSL algebras

Fangyan Lu (2009)

Studia Mathematica

Similarity:

We show that every Jordan isomorphism between CSL algebras is the sum of an isomorphism and an anti-isomorphism. Also we show that each Jordan derivation of a CSL algebra is a derivation.

Characterization of Jordan derivations on 𝒥-subspace lattice algebras

Xiaofei Qi (2012)

Studia Mathematica

Similarity:

Let 𝓛 be a 𝒥-subspace lattice on a Banach space X and Alg 𝓛 the associated 𝒥-subspace lattice algebra. Assume that δ: Alg 𝓛 → Alg 𝓛 is an additive map. It is shown that δ satisfies δ(AB + BA) = δ(A)B + Aδ(B) + δ(B)A + Bδ(A) for any A,B ∈ Alg 𝓛 with AB + BA = 0 if and only if δ(A) = τ(A) + δ(I)A for all A, where τ is an additive derivation; if X is complex with dim X ≥ 3 and if δ is linear, then δ satisfies δ(AB + BA) = δ(A)B + Aδ(B) + δ(B)A + Bδ(A) for any A,B ∈ Alg 𝓛 with AB...

Generalized Derivations on (Semi-)Prime Rings and Noncommutative Banach Algebras

Feng Wei, Zhankui Xiao (2009)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Jordan *-derivation pairs on standard operator algebras and related results

Dilian Yang (2005)

Colloquium Mathematicae

Similarity:

Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided. ...