Local Jordan Derivations and Local Jordan Automorphisms of Upper Triangular Matrix Algebras

摘要

Let R be a commutative ring with identity,Tn(R) the R-algebra of all upper triangular n by n matrices over R.In this paper,it is proved that every local Jordan derivation of Tn(R) is an inner derivation and that every local Jordan automorphism of Tn(R) is a Jordan automorphism.As applications,we show that local derivations and local automorphisms of Tn(R) are inner.