摘要

Let S-n (F) be the algebra of all n x n strictly upper triangular matrices over a filed F. In this note, we characterize linear maps phi : S-n(F) -> S-n(F), with vertical bar F vertical bar >= 3, that preserve the adjugate function; i.e., adj(phi(A)) = phi(adj(A)). Also, some results about rank-1 linear/additive preservers on S-n(F) and, more generally, on block strictly upper triangular algebras are obtained.

  • 出版日期2013-12

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