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Chen, Li; Wang, Dengyin

Nonlinear bijective maps on strictly upper triangular matrices preserving zero product. (English) Zbl 1342.15023

Linear Multilinear Algebra 64, No. 3, 412-425 (2016).
The authors obtain the complete characterization of nonlinear bijective maps preserving zero products in both directions on the set of strictly upper-triangular matrices over a finite field.
Reviewer: Alexander Guterman (Moskva)

MSC:

15A86 Linear preserver problems
15B33 Matrices over special rings (quaternions, finite fields, etc.)

Keywords:

strictly upper triangular matrices; nonlinear bijective maps; zero product preserver; finite field
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References:

[1] DOI: 10.1016/0024-3795(92)90377-M · Zbl 0762.15016 · doi:10.1016/0024-3795(92)90377-M
[2] DOI: 10.2307/2695268 · Zbl 0991.15001 · doi:10.2307/2695268
[3] DOI: 10.2140/pjm.1980.89.229 · Zbl 0405.16006 · doi:10.2140/pjm.1980.89.229
[4] DOI: 10.2140/pjm.1981.92.469 · Zbl 0415.17008 · doi:10.2140/pjm.1981.92.469
[5] DOI: 10.4064/sm155-1-6 · Zbl 1032.46063 · doi:10.4064/sm155-1-6
[6] DOI: 10.2140/pjm.2004.216.217 · Zbl 1078.16034 · doi:10.2140/pjm.2004.216.217
[7] Hou J, Chin. Sci. Bull 43 pp 2388– (1998)
[8] DOI: 10.1016/j.laa.2004.02.032 · Zbl 1061.47035 · doi:10.1016/j.laa.2004.02.032
[9] DOI: 10.1016/S0024-3795(00)00097-5 · Zbl 0954.15011 · doi:10.1016/S0024-3795(00)00097-5
[10] DOI: 10.1016/S0024-3795(02)00264-1 · Zbl 1007.15007 · doi:10.1016/S0024-3795(02)00264-1
[11] DOI: 10.1007/s10587-014-0105-x · Zbl 1340.15004 · doi:10.1007/s10587-014-0105-x
[12] DOI: 10.1016/S0024-3795(01)00229-4 · Zbl 0987.17010 · doi:10.1016/S0024-3795(01)00229-4
[13] DOI: 10.1016/S0024-3795(02)00446-9 · Zbl 1015.17017 · doi:10.1016/S0024-3795(02)00446-9
[14] DOI: 10.1016/j.laa.2014.07.041 · Zbl 1300.05187 · doi:10.1016/j.laa.2014.07.041
[15] DOI: 10.1016/j.laa.2014.09.035 · Zbl 1312.16026 · doi:10.1016/j.laa.2014.09.035
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