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- W2380249933 abstract "Suppose F_2 is the field {0,1} and n is an integer with n≥2.Let M_n(F_2) be the linear space of all n×n matrices over F_2,and let S_n(F_2) be its subspace consisting of all symmetric matrices.A linear operator f:S_n(F_2)→M_n(F_2) is called a linear preserver of rank from S_n(F_2) to M_n(F_2) if rank f(X)=rankX for every X∈S_n(F_2).It is shown that f is a linear preserver of rank from S_n(F_2) to M_n(F_2) if and only if there exist nonsingular U,V∈M_n(F_2) such that f(A)=UAV for every A∈S_n(F_2)." @default.
- W2380249933 created "2016-06-24" @default.
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- W2380249933 date "2005-01-01" @default.
- W2380249933 modified "2023-09-25" @default.
- W2380249933 title "Linear preservers of rank between spaces of matricesover field of two elements" @default.
- W2380249933 hasPublicationYear "2005" @default.
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