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- W2063934503 abstract "Let R be a 2-torsion free commutative ring with identity, A,B be unital algebras over R and M be a unital (A,B)-bimodule, which is faithful as a left A-module and also as a right B-module. Let T=AM0B be the triangular algebra consisting of A,B and M, and let d be an R-linear mapping from T into itself. Suppose that A and B have only trivial idempotents. Then the following statements are equivalent: (1) d is a Jordan (α,β)-derivation on T; (2) d is a Jordan triple (α,β)-derivation on T; (3) d is an (α,β)-derivation on T. Furthermore, a generalized version of this result is also given. We characterize the actions of automorphisms and skew derivations on the triangular algebra T. The structure of continuous (α,β)-derivations of triangular Banach algebras and that of generalized Jordan (α,β)-derivations of upper triangular matrix algebras are described." @default.
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- W2063934503 date "2011-01-01" @default.
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- W2063934503 title "Jordan <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mrow><mml:mo stretchy=false>(</mml:mo><mml:mi>α</mml:mi><mml:mtext>,</mml:mtext><mml:mi>β</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>-derivations on triangular algebras and related mappings" @default.
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- W2063934503 doi "https://doi.org/10.1016/j.laa.2010.08.018" @default.
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