On (m, n)-derivations of some algebras

• Autorzy: Shen, Q. , Li, J. , Guo, J.
• Języki publikacji: EN

Abstrakty

EN

Let A be a unital algebra, δ be a linear mapping from A into itself and m, n be fixed integers. We call δ an (m, n)-derivable mapping at Z, if mδ(AB) + nδ(BA) = mδ(A)B + mAδ(B) + nδ(B)A + nBδ(A) for all A, B (…) A with AB = Z. In this paper, (m, n)-derivable mappings at 0 (resp. IA (…) 0, I) on generalized matrix algebras are characterized. We also study (m, n)-derivable mappings at 0 on CSL algebras. We reveal the relationship between this kind of mappings with Lie derivations, Jordan derivations and derivations.

Słowa kluczowe

PL

algebra CSL; pochodne; algebra macierzy

EN

CSL algebra; derivation; generalized matrix algebra; (m; n)-derivation

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 3
• Strony: 672--694
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Shen, Q.

• School of Mathematics and Information, Shanghai Lixin University of Commerce, Shanghai, 201620, Pr China,

autor

Li, J.

• Department of Mathematics, East China University of Science and Technology, Shanghai 200237, Pr China

autor

Guo, J.

• Department of Mathematics, East China University of Science and Technology, Shanghai 200237, Pr China

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