数学
德拉津逆
纯数学
戒指(化学)
光谱(功能分析)
域代数上的
几何学
量子力学
物理
有机化学
化学
反向
作者
Yanxun Ren,Lining Jiang
标识
DOI:10.1142/s0219498824500646
摘要
The paper introduces the left and right versions of the large class of Drazin inverses in terms of the left and right annihilators in a ring, which are called left-Drazin and right-Drazin inverses. We characterize some basic properties of these one-sided Drazin inverses, and discuss Jacobson’s lemma for them. In addition, the relation between the Drazin inverses and these two one-sided inverses is given by means of the spectrum and the operator decomposition. As an application, the left-Drazin and right-Drazin invertibilities in the Calkin algebra are investigated.
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