Decomposition of Lie automorphisms of upper triangular matrix algebra over commutative rings

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Let T n+1 ( R) be the algebra of all upper triangular square matrices of order n + 1 over a commutative ring R with the identity 1 and unit 2. For n ⩾ 2, we prove that any Lie automorphism of T n+1 ( R) can be uniquely written as a product of graph, central, inner and diagonal automorphisms.