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- W2007591537 abstract "Abstract Let F be a field, T n (F) (respectively, N n (F)) the matrix algebra consisting of all n × n upper triangular matrices (respectively, strictly upper triangular matrices) over F. A ∈ T n (F) is said to be square zero if A 2 = 0. In this article, we firstly characterize non-singular linear maps on N n (F) preserving square-zero matrices in both directions, then by using it we determine non-singular linear maps on T n (F) preserving square-zero matrices in both directions. Keywords: square-zero matriceslinear maps preserving square-zero matrices F-algebra MR(2000) Subject Classifications: : 15A0415A2716S50" @default.
- W2007591537 created "2016-06-24" @default.
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- W2007591537 date "2010-01-01" @default.
- W2007591537 modified "2023-10-09" @default.
- W2007591537 title "Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices" @default.
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- W2007591537 doi "https://doi.org/10.1080/03081080802531770" @default.
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