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.
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.
基金
Supported by the Doctor Foundation of Henan Polytechnic University (Grant No. B2010-93)