Minimal Weak Drazin Inverses in Semigroups and Rings

被引：0
|
作者：
Xu, Shuxian [1 ]
Chen, Jianlong [1 ]
Wu, Cang [1 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Drazin inverse; minimal rank weak Drazin inverse; pi-regularity; Green's preorder;
D O I：
10.1007/s00009-024-02661-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1978, Campbell and Meyer proposed the notion of minimalrank weak Drazin inverses of complex matrices. In this paper, we defineminimal weak Drazin inverses of elements in semigroups using Green'spreorde r <= R,which generalize minimal rank weak Drazin inverses ofcomplex matrices. For two elementsa, yof a semigroup, it is provedthatyis a minimal weak Drazin inverse ofaif and only if ya(k+1)=a(k) for some nonnegative integer k and ay(2)=y
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页数：15
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