Linear preservers of Boolean nilpotent matrices

被引:0
|
作者
Song, SZ [1 ]
Kang, KT
Jun, YB
机构
[1] Cheju Natl Univ, Dept Math, Cheju 690756, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea
关键词
Boolean algebra; nilpotent matrix; constituent; linear operator;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For an n x n Boolean matrix A, A is called nilpotent if A(m)=O for some positive integer m. We consider the set of n x n nilpotent Boolean matrices and we characterize linear operators that strongly preserve nilpotent matrices over Boolean algebras.
引用
收藏
页码:539 / 552
页数:14
相关论文
共 50 条
  • [31] SPANNING COLUMN RANKS OF NON-BINARY BOOLEAN MATRICES AND THEIR PRESERVERS
    Kang, Kyung-Tae
    Song, Seok-Zun
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (02) : 507 - 521
  • [32] Three linear preservers on infinite triangular matrices
    Slowik, R.
    LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (04): : 672 - 694
  • [33] TOTALLY POSITIVE DENSITY MATRICES AND LINEAR PRESERVERS
    Kribs, David
    Levick, Jeremy
    Pereira, Rajesh
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2016, 31 : 313 - 320
  • [34] Semimodules and preservers of traceless symmetric Boolean matrices of factor rank two
    Lim, Ming-Huat
    Tan, Sin-Chee
    LINEAR & MULTILINEAR ALGEBRA, 2014, 62 (02): : 159 - 179
  • [35] LINEAR PRESERVERS OF BOOLEAN RANK BETWEEN DIFFERENT MATRIX SPACES
    Beasley, LeRoy B.
    Kang, Kyung-Tae
    Song, Seok-Zun
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (03) : 625 - 636
  • [36] On the dimension of linear spaces of nilpotent matrices
    MacDonald, G. W.
    MacDougall, J. A.
    Sweet, L. G.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 2210 - 2230
  • [37] THE DRAZIN INVERSES OF INFINITE TRIANGULAR MATRICES AND THEIR LINEAR PRESERVERS
    Slowik, R.
    UKRAINIAN MATHEMATICAL JOURNAL, 2018, 70 (04) : 614 - 631
  • [38] LINEAR TRANSFORMATIONS THAT PRESERVE THE NILPOTENT MATRICES
    BOTTA, P
    PIERCE, S
    WATKINS, W
    PACIFIC JOURNAL OF MATHEMATICS, 1983, 104 (01) : 39 - 46
  • [39] The singular linear preservers of non-singular matrices
    Pazzis, Clement de Seguins
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (02) : 483 - 490
  • [40] Linear spaces of symmetric nilpotent matrices
    Bukovsek, Damjana Kokol
    Omladic, Matjaz
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 530 : 384 - 404