Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (5): 2055-2074.

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Properties and Characterizations of Dual Left (Right) Star Partial Orders

Na Liu1(), Xiaoji Liu2,*()   

  1. 1 School of Mathematical Sciences, Guangxi Minzu University, Nanning 530006
    2 School of Education, Guangxi Vocational Normal University, Nanning 530007
  • Received:2025-01-10 Revised:2025-10-21 Online:2026-10-26 Published:2026-09-07
  • Contact: Xiaoji Liu E-mail:470186879@qq.com;xiaojiliu72@126.com
  • Supported by:
    NSFC(12061015);NSFC(12361067);Guangxi Natural Science Foundation(2024GXNSFAA010503);Guangxi Natural Science Foundation(2024GXNSFAA010506)

Abstract:

In this paper, we introduce left (right) D-* order and left (right) P-* order on dual matrix by using DMPGI and MPDGI. The equivalent characterizations and properties are presented. Furthermore, we discuss the relationships among the left (right) D-* order, the left (right) P-* order, the minus order, the D-* order and the P-* order on dual matrices.

Key words: left D-* partial order, right D-* partial order, left P-* partial order, right P-* partial order

CLC Number: 

  • O151
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