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Linear Operators That Preserve Arctic Ranks of Boolean Matrices

Author

Listed:
  • Kyung-Tae Kang

    (Department of Mathematics, Jeju National University, Jeju 63243, Korea)

  • Seok-Zun Song

    (Department of Mathematics, Jeju National University, Jeju 63243, Korea)

Abstract

We study some properties of arctic rank of Boolean matrices. We compare the arctic rank with Boolean rank and term rank of a given Boolean matrix. Furthermore, we obtain some characterizations of linear operators that preserve arctic rank on Boolean matrix space.

Suggested Citation

  • Kyung-Tae Kang & Seok-Zun Song, 2021. "Linear Operators That Preserve Arctic Ranks of Boolean Matrices," Mathematics, MDPI, vol. 9(10), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1087-:d:552825
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