Turkish Journal of Mathematics
Abstract
In this paper, new extensions of Jacobson's lemma and Cline's formula for Drazin inverses, generalized Drazin inverses, and ($m,n$)-pseudo-inverses are given. As applications, we provide a formula for the powers of the products of two elements and establish connections between two B-Fredholm elements through the canonical map.
DOI
10.3906/mat-1911-21
Keywords
Drazin inverses, generalized Drazin inverses, ($m, n$)-pseudo-inverses, Jacobson's lemma, Cline's formula
First Page
1744
Last Page
1756
Recommended Citation
YAN, K, & ZENG, Q (2020). The generalized inverses of the products of two elements in a ring. Turkish Journal of Mathematics 44 (5): 1744-1756. https://doi.org/10.3906/mat-1911-21
