Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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LINEAR PRESERVERS OF BOOLEAN NILPOTENT MATRICES

  • Song, Seok-Zun (Department of Mathematics Cheju National University) ;
  • Kang, Kyung-Tae (Department of Mathematics Cheju National University) ;
  • Jun, Young-Bae (Department of Mathematics Education Gyeongsang National University)
  • Published : 2006.05.01
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Abstract

For an $n{\times}n$ Boolean matrix A, A is called nilpotent if $A^m=O$ for some positive integer m. We consider the set of $n{\times}n$ nilpotent Boolean matrices and we characterize linear operators that strongly preserve nilpotent matrices over Boolean algebras.

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References

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