Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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IDEMPOTENT MATRIX PRESERVERS OVER BOOLEAN ALGEBRAS

  • Song, Seok-Zun (Department of Mathematics and Research Institute of Basic Science Cheju National University) ;
  • Kang, Kyung-Tae (Department of Mathematics and Research Institute of Basic Science Cheju National University) ;
  • Beasley Leroy B. (Department of Mathematics and Statistics Utah State University)
  • Published : 2007.01.31
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Abstract

We consider the set of $n{\times}n$ idempotent matrices and we characterize the linear operators that preserve idempotent matrices over Boolean algebras. We also obtain characterizations of linear operators that preserve idempotent matrices over a chain semiring, the nonnegative integers and the nonnegative reals.

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References

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  4. On linear operators strongly preserving invariants of Boolean matrices vol.62, pp.1, 2012, https://doi.org/10.1007/s10587-012-0004-y
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