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

引用

页数：15

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