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WEI Anli, LI Ying, ZHAO Jianli, DING Wenxu. The Matrix Expression of Finite FI Algebra[J]. Journal of South China Normal University (Natural Science Edition), 2022, 54(6): 102-108. DOI: 10.6054/j.jscnun.2022091
Citation: WEI Anli, LI Ying, ZHAO Jianli, DING Wenxu. The Matrix Expression of Finite FI Algebra[J]. Journal of South China Normal University (Natural Science Edition), 2022, 54(6): 102-108. DOI: 10.6054/j.jscnun.2022091
shu

The Matrix Expression of Finite FI Algebra

  • School of Mathematical Sciences/Research Center of Semi-tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng 252000, China

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  • Received Date: August 26, 2021
  • Available Online: February 13, 2023
    Graphical Abstract
    • Abstract
  • The theory of the semi-tensor product of matrices is applied to systematic matrix description of FI algebra, and the matrix expressions of FI algebra are presented. Via these matrix expressions, the properties of the homomorphisms, isomorphisms and related structures of the derivatives of the FI algebra are studied. At the same time, straightforward verifiable conditions for detecting the properties above are obtained by using logical matrices operations.
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    • References (23)
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