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Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices. (English) Zbl 1196.15028

A characterization is obtained for non-singular linear maps preserving square-zero matrices in both directions on the space of upper-triangular (strictly upper-triangular) matrices.

MSC:

15A86 Linear preserver problems
15A04 Linear transformations, semilinear transformations
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