对偶矩阵两类星序的特征和性质

数学物理学报 ›› 2026, Vol. 46 ›› Issue (5): 2055-2074.

• • 上一篇

对偶矩阵两类星序的特征和性质

刘娜¹(), 刘晓冀²^,^*()

¹ 广西民族大学数学科学学院南宁 530006
² 广西职业师范学院教育学院南宁 530007

收稿日期:2025-01-10 修回日期:2025-10-21 出版日期:2026-10-26 发布日期:2026-09-07
通讯作者: 刘晓冀 E-mail:470186879@qq.com;xiaojiliu72@126.com
作者简介:刘娜, E-mail:470186879@qq.com
基金资助:
国家自然科学基金(12061015);国家自然科学基金(12361067);广西自然科学基金(2024GXNSFAA010503);广西自然科学基金(2024GXNSFAA010506)

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

Na Liu¹(), Xiaoji Liu²^,^*()

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)

摘要/Abstract

摘要：

该文利用 DMPGI 和 MPDGI 引入对偶矩阵上的左 (右) D-* 序和左 (右) P-* 序, 给出其等价刻画和性质. 进一步, 给出对偶矩阵上的左 (右) D-* 序和左 (右) P-* 序与 D-* 序, D 序, P-* 序之间的区别联系.

关键词: 左 D-* 序, 右 D-* 序, 左 P-* 序, 右 P-* 序

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

中图分类号:

O151

刘娜, 刘晓冀. 对偶矩阵两类星序的特征和性质[J]. 数学物理学报, 2026, 46(5): 2055-2074.

Na Liu, Xiaoji Liu. Properties and Characterizations of Dual Left (Right) Star Partial Orders[J]. Acta mathematica scientia,Series A, 2026, 46(5): 2055-2074.

参考文献 29

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对偶矩阵两类星序的特征和性质

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

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