Dérivations supérieures multiplicatives de type Jordan des anneaux unitaires avec idempotants non-triviaux

Suppose R is a non-zero unital associative ring with a nontrivial idempotent "e". In this paper, we prove that under some mild conditions every multiplicative jordan n-higher derivations on R is additive. Moreover, at the end of the paper, we have presented some applications of multiplicative Jordan n-higher derivations on triangular rings, nest algebra, upper triangular block matrix algebra, prime rings, von Neumann algebras.

Suppose R is a non-zero unital associative ring with a nontrivial idempotent "e". In this paper, we prove that under some mild conditions every multiplicative jordan n-higher derivations on R is additive. Moreover, at the end of the paper, we have presented some applications of multiplicative Jordan n-higher derivations on triangular rings, nest algebra, upper triangular block matrix algebra, prime rings, von Neumann algebras.

Jordan derivations derivations unital rings matrix algebras

Jordan derivations derivations unital rings matrix algebras