Functional identities and Jordan σ-derivations
Journal
Linear and Multilinear Algebra
Date Issued
2015
Author(s)
Abstract
Let R be a non-commutative prime ring with Qmr (R) its maximal right ring of quotients. It is proved that the functional identity f (x, y)[x, y] = 0 for bi-additive maps f: R × R → Qmr (R) only has the trivial solution. Basing on the result, we characterize Jordan σ-derivations and generalized Jordan semiderivations in terms of derivations, σ-derivations and semiderivations.
Let R be a non-commutative prime ring with Qmr (R) its maximal right ring of quotients. It is proved that the functional identity f (x, y)[x, y] = 0 for bi-additive maps f: R × R → Qmr (R) only has the trivial solution. Basing on the result, we characterize Jordan σ-derivations and generalized Jordan semiderivations in terms of derivations, σ-derivations and semiderivations.
Type
journal article