Decomposition of Jordan automorphism of two-order upper triangular matrix algebra over certain semilocal rings

摘要

Let T(R) be a two-order upper matrix algebra over the semilocal ring R which is determined by R = F x F where F is a field such that CharF = 0. In this paper, we prove that any Jordan automorphism of T(R) can be decomposed into a product of involutive, inner and diagonal automorphisms.