Partial orders based on core-nilpotent decomposition

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• 作者：Hongxing Wang^a ; ^b ; ^{winghongxing0902@163.com" class="auth_mail" title="E-mail the corresponding author} ; Xiaoji Liu^c ; ^{xiaojiliu72@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A09 ; 15A57 ; 15A24
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：1 January 2016
• 年：2016
• 卷：488
• 期：Complete
• 页码：235-248
• 全文大小：307 K

文摘

In this paper, we study partial orders in terms of the core-nilpotent decomposition. We derive some characterizations of the C-N partial ordering, create a new partial ordering (the G-Drazin partial ordering) which is a generalization of C-N partial ordering, and give some properties and characterizations of the G-Drazin partial ordering.